What is the value of log 1 to base 7?

Answers

Answer 1

0 is the value of log 1 to base 7.

The inverse of an exponential function is named a logarithm. That means the logarithm of a number y to the base b is the exponent to which b must be raised, to produce y. For example, since 100 = 10², the logarithm base 10 of 100 is 2, or log₁₀ (100) = 2. The logarithm of x to base a is denoted as logₐ (x), or without parentheses, logₐ x, or even without the explicit base, log x.

As we know,

aˣ = N ⇔ [tex]log_{a}N[/tex] = x

Let log₇1 = x

⇒7ˣ = 1

⇒7⁰ = 1

Equating powers on both sides, we get

x = 0

⇒log₇1 = 0

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Related Questions

Find the volume of the surface area of the right circular cylinder
6in and 3in
Volume~ *answer*
Use 3.14. round to the nearest tenth

Answers

The volume of the right circular cylinder of height 6 inches and base radius 3 inches is about 169.6 cubic inches.

What is a right circular cylinder?

A right circular cylinder is a solid that has two parallel circular plane surfaces at the top and bottom part of the cylinder, and a curved closed surface perpendicular to and joining the top and bottom circular surfaces

The volume of a right circular cylinder can be found using the formula;

V = π·r²·h

Where;

r = The radius of the cylinder

h = The height of the cylinder

π = 3.14

The dimensions of the cylinder are 6 inches and 3 inches

Whereby the height of the cylinder, h = 6 inches, and the radius of the cylinder, r = 3 inches, we get;

Volume of the right circular cylinder, V = 3.14 × 3² × 6 ≈ 169.6

The volume of the right circular cylinder, V = 169.6 in³

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Among the following countries, which country is not in Asia?AIndiaBUSACIranDChina

Answers

Answer:

B) USA

Step-by-step explanation:

USA is in North America

The set of polynomials is ___ closed under division.

Answers

The set of polynomials is not closed under division.

A polynomial is a mathematical statement made up of exponents, constants, and variables that are mixed using addition, subtraction, multiplication, and division operations. Polynomial means "many terms" since it combines the words poly-, which means "many," and -nomial, which in this context means "term." A polynomial may have exponents (like the 2 in y2), constants (like x and y), variables (like the x and y exponents), and other terms, but only those that can be mixed using addition, subtraction, multiplication, and division are permitted. Constants, variables, and exponents are all permitted in polynomials, but variable division is never permitted.

In addition, they are now only limited to a finite number of terms, which can be one or more.

The dividend appears at the top of the division at first, similar to how long multiplication is written.

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HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

See the attached histogram.

Step-by-step explanation:

What would be the degree of financial leverage for Foggy Futures Weather Forecasters if the company has earnings before interest and taxes of $750,000, has a 4. 5% loan on $1,000,000, and is in the 38% tax bracket? The firm does not have any preferred stock outstanding. A. 1. 22 b. 0. 97 c. 1. 06 d. 1. 78

Answers

The degree of financial leverage for Foggy Futures Weather Forecasters

is 1.06

Degree of Financial leverage (DFL) = (EBIT) / (EBT)

Earnings Before Interest and Taxes (EBIT) = $750,000

Amount to be given as loan on $1000000

$1,000,000 x 4.5% = $1,000,000 x 4.5/100

= $45000

To find EBT ( Earnings Before Tax),

EBT = EBIT - 45000

       = 750000 - 45000

EBT = 705000

∴ DFL =  (EBIT) / (EBT)

          = 750000/705000

 DFL = 1.06

The DFL is a percentage that accountants and financial professionals use to show changes in a company's net income due to changes in its profits before interest and taxes (EBIT).

Earnings before interest and taxes (EBIT) is a measurement of a company's profit in accounting and finance that takes into account all revenues and costs (both operating and non-operating), with the exception of interest costs and income tax costs.ve

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You pick a random card 2 3 4 5 what is p (not 4 )

Answers

The probability that the picked card is not 4 is 3/4.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Probability is calculated by dividing the number of desirable outcomes by the total number of outcomes.

Here, there are 4 cards 2, 3, 4 and 5.

Total number of cards = 4

Number of cards that has 4 = 1

Probability (4) = 1/4

Probability (not 4) = 1 - Probability (4)

Probability (4) = 1 - 1/4 = 3/4

Hence there is a probability of 3/4 where the picked card is not 4.

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Encontrar el área del rectángulo. f(x)=x2 n=4

Answers

Para calcular el área de un rectángulo multiplicamos el largo por el ancho.

¿Qué es el area?

The area is the space inside a two-dimensional figure. We can also consider the area as the amount of space that surrounds the figure. Reaction of the Right Angle: Long and Sharp

Area = largo anchostart text, A, with, ', on top, r, e, a, end text, equals, start text, l, a, r, g, o, end text, times, start text, a, n, c, h, o, end text =62Area = largo anchostart text, empty space, equals, 6, times, 2=12 cuadradas

Area equals 12 square units

start text, space, u, n, I d, a, d, e, s, space, c, u, a, d, r, a, d, a, s, end text, empty space, equals,

Example 2: "Area=largo"anchostart text, "A," "with," "on top," "equals," "l," "a," "r," "g," "o," "end text," "times," and "l".

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Please help, I don't quite understand. I'm offering 30 points with Brainliest answer!

Answers

Answer:

-4

Step-by-step explanation:

a1 is 2

a2 = a1^2-5 = 4-5 = -1

a3 is a2^2-5 = 1-5 = -4

Could I get some help please?
Please add an explanation if possible.

Answers

Answer:

[tex] \mathsf{P = 45,230 {(1 + 0.02)}^{t} }[/tex]

Step-by-step explanation:

Since P is growing every year at the rate of 2%.

It's an case similar finding of compounds interest.

that why we are using the formula of compounds interest in this situation.

5. Simplify 9 1/3 • 81 1/3

Answers

Answer:

759 [tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Convert the mixed numbers into fraction ( to make it easier )

Equation:

[tex]\frac{29}{3}[/tex] x [tex]\frac{244}{3}[/tex]    <—- Remember these are mixed number ;)

Now we make it into this..

28 x 244

————-

 3 x 3

Multiply the top : 6832

Multiply the bottom : 9

Make to fraction——-/\

( [tex]\frac{6832}{9}[/tex] )

Simplify the answer to:

759 [tex]\frac{1}{9}[/tex]

This is an incorrect question.

The correct question should be as:

Simplify: [tex]9^{\frac{1}{3}} *81^{\frac{1}{3}}[/tex]

Step-by-step Solution:

[tex]9^{\frac{1}{3}} *81^{\frac{1}{3}}[/tex]

⇒[tex]9^{\frac{1}{3} }[/tex]  is the same as [tex]\sqrt[3]{9}[/tex]

⇒[tex]81^{\frac{1}{3} } \\[/tex]  is the same as [tex]\sqrt[3]{81}[/tex]

⇒[tex]\sqrt[3]{9*81}[/tex]

⇒[tex]\sqrt[3]{3*3*9*9}[/tex]

⇒[tex]\sqrt[3]{3*3*3*3*3*3}[/tex]

Pull out groups of 3 from underneath the radical:

⇒[tex]\sqrt[3]{9}[/tex] * [tex]\sqrt[3]{81}[/tex]

⇒[tex]\sqrt[3]{729}[/tex]

⇒ 9

Therefore, the correct solution to this question is: 9

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What is the value of k in the given equation for which equation has real and equal roots KX² 5x 4 0 *?

Answers

When k = -1/2, the equation has real and equal roots of x = 2.

What is equation?

An equation is a mathematical statement that two expressions are equal. It consists of two expressions, one on each side of an equal sign. Equations are used to solve problems in mathematics, chemistry, physics, engineering, and other sciences. They can also be used to define relationships between different variables or constants. Equations are an important tool for understanding the world around us.
The value of k in the given equation is -1/2. This is because when k is equal to -1/2, the equation has real and equal roots of x = 2. This can be verified by substituting k = -1/2 and x = 2 into the given equation:

KX² + 5x + 4 = 0
(-1/2) (2²) + 5(2) + 4 = 0
(-1) + 10 + 4 = 0
9 = 0

Therefore, when k = -1/2, the equation has real and equal roots of x = 2.

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What are the 4 steps of division?

Answers

1.divide 2.multiply 3.subtract 4.Bring the next number down.

In most cases, the product of a monomial and a binomial is a ___.

Answers

In most cases the product of a monomial and binomial is a binomial.

A monomial has one term, a binomial has two, a trinomial has three, and a polynomial contains one or more terms.

A monomial is a single-term algebraic expression that can also include several variables and a higher degree.

The algebraic statement with only two terms is known as a binomial expression. It is a polynomial with two terms. It is also known as the sum or difference of two or more monomials. It is the most basic form of a polynomial.

A binomial is always the product of a monomial and a binomial. For instance, multiply 5x by the binomial (5x+4). Then we have. 5x(5x+4)=25x2+20x. (By using distributive law)

A trinomial is the product of two binomials.

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9/14 plus 11/21 fully reduced

Answers

1 and 1/6

u have to find the LCM and multiply that by the numerator and then add them together, u would then get 7/6 and that simplified is 1 and 1/6

If the rule is to start at 3/8 and add 3/16, what would be the 4th term in the sequence?

Answers

Answer:

15/16

Step-by-step explanation:

3/8 = 6/16

6/16+3/16=9/16

9/16+3/16=12/16

12/16+3/16=15/16

A grocery store is offering a sale on bread and soup

Answers

The equations for both Khalil's and Ronda's purchase is given below:

The price of one loaf of bread is $3.44

How to solve this?

4 cans and 3 loaves=11.67

8 cans and 1 loaf= 12.89.

Set up the equation:

x=cansy=loaves4x + 3y = 11.678x + y  = 12.89

These are the equations for both Khalil's and Ronda's purchases.

If we solve for x in the equation, the answer would be $3.44

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A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and

three loaves of bread for $11.67. Ronda buys eight cans of soup and one loaf of bread for $12.89.

Homework. Help

a. Write equations for both Khalil's and Ronda's purchases.

b. Solve the system to find the price of one can of soup and the price of one loaf of bread

What is two rays sharing a common endpoint?
A)angle
B)circle
C)triangle
D)line segment

Answers

Answer:

A) angle

Step-by-step explanation:

This is a definition.

PLSS HELPPP
find the range of the function f(x)=x^2 -3/ 2 when the domain is {0,1,2,3}

Answers

Try graphing the function to determine the range if you are unable to solve for x. Vertex of x² - 3 / 2 :  Minimum (0,-3/2) .

How to find the calculation?

f(x)=x^2 -3/ 2

When you solve the equation for x, you get something of the form x=g. Write down y=f(x) after that.

The range of f(x) is determined by the domain of g(y), which you should find.

Try graphing the function to determine the range if you are unable to solve for x.

Domain of x² - 3 /2:

Solution : -∝ < x < ∝

Interval Notation ; ( - ∝ ,∝)

Range of x² - 3 / 2 :

Solution :f(x) ≥ - 3 / 2

Interval Notation : -3/2 ,∝

Axis interception points of x² - 3 /2 :

X intercepts : ( √3,0) , ( - √3,0)

Y intercepts : (0,-3/2)

Vertex of x² - 3 / 2 :

Minimum (0,-3/2) .

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Given: BC ∥ AD ,
AC ∩ BD = O,
K ∈ BC ,
M ∈ AD ,
KM ⊥ BC ,
O ∈ KM ,
BC = 2, OK = 1, OM = 2
Find: AD

Answers

Answer: The answer is 4 units(AD=4)

Step-by-step explanation:

basically we are given two similar shapes. We know that OM = 2  and OK = 1, so we already know the scale factor: 2. Therefore, we multiply BC by two to get 4 which is AD.

Answer:

your answer is 4

Step-by-step explanation:

yeah whatever it said above.

solve the following simultaneous equations
y=3x-1
x2 +y² = 73

Answers

The equation y = 3x - 1 and x² + y² = 73 then x = -1, y = -2.

What is meant by Simultaneous equations?

Simultaneous linear equations are a pair of linear equations in two or three variables that are solved simultaneously to arrive at a single answer.

Simultaneous equations are two or more algebraic equations that share the same unknown variables and have the same solution for each of them. The simultaneous equations must therefore have a single solution, according to this.

Add together the equations if the signs vary. Subtract the indications from one another if they match. Different Add, Same Subtract, or DASS, is a simple way to remember this.

Substitute y = 3x + 1 in [tex]$x^2+y^2=5$[/tex]

[tex]$$x^2+(3 x+1)^2=5 \quad \Rightarrow \quad 10 x^2+6 x-4=0$$[/tex]

Hence

[tex]$$\begin{aligned}& 5 x^2+3 x-2=0 \Rightarrow 5 x^2+5 x-2 x-2=0 \quad \\\& 5 x(x+1)-2(x+1)=0 \quad \Rightarrow \quad(5 x-2)(x+1)=0\end{aligned}$$[/tex]

Hence, either [tex]$x=\frac{2}{5}, y=3 \times \frac{2}{5}+1=\frac{11}{5}$[/tex]

or [tex]$x=-1, y=3 \times(-1)+1=-2$[/tex].

The complete question is:

How do you solve the simultaneous equations [tex]$x^2+y^2=5$[/tex] and y=3x+1?

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1/4+ 5/8 = i need help pls
Cannoli explain this to me

Answers

So, what you do is make the denominators the same (4 and 8) so you multiply the fraction by 2 (you also do that to the top as well), then what you have is 2/8, now you just add the top together and keep the bottom the same. Now you get 7/8.

Identify the parent function for the function g(x)=x-3 from its function rule. Then graph g and identify what
transformation of the parent function it represents.
O quadratic, translation down 3 units
O linear, translation up 3 units
O quadratic, translation up 3 units
O linear, translation down 3 units

Answers

Transformation of the parent function it represents, linear translation down 3 units.

What are the steps to determining a graph's parent function and transformation?

By modifying the value of x (for example, y(x) = x + 2) or by multiplying x by a constant (for example, y(x) = 3x), you can examine the graphs of linear functions. Do not forget that y(x) = x is the linear parent function. Its most fundamental and straightforward form is this.

The graph of y = f (x - h) is translated h units to the RIGHT of the graph of the parent function if h > 0, and it is translated h units to the LEFT if h 0.

as in f(x) = ( x – 3)

The graph of y=f(x-h) is a translation of |h| units to the LEFT of the graph of the parent function if h 0; otherwise, it is a straight line.

Example: f(x) = (x + 4).

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if an object travels at 5 ft/second, how many feet does it travel in 1 hour? question 10 options: 30 feet 720 feet 18,000 feet 300 feet 1800 feet

Answers

Using the speed calculation formula, we can conclude that the object travels 18000 feet.

in speed calculation, there's a relation between speed, distance, and time. Speed is the distance traveled in a certain unit of time. Speed can be calculated by dividing the distance by time:

Speed = distance / time

From the problem we can obtain some information:

speed = 5 feet/second

time = 1 hour

To calculate the distance, we can do as follows:

distance = speed * time

              = 5 feet/second * 1 hour

To finish this operation, we must change the unit of time so that align with the unit of speed.

1 hour = 3600 seconds

Then we go back to the distance calculation:

distance = 5 feet/second * 1 hour

              = 5 feet/second * 3600 seconds

              = 18000 feet

Thus the object travels 18000 feet.

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Note: Triangle may not be drawn to scale.
Suppose c = 12 and A = 40 degrees.

Answers

We can write the measurements as -

a = 7.8b = 9.24(B) = 50°

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is a right angled triangle.

We can write -

{ 1 } -

sin (A) = a/c

a = c sin(A)

a = 12 sin(40°)

a = 12 x 0.65

a = 7.8

{ 2 } -

cos (A) = b/c

b = c cos(A)

b = c cos(40°)

b = 12 x 0.77

b = 9.24

{ 3 } -

tan (B) = b/a

tan (B) = 9.24/7.8

tan (B) = 1.19

(B) = 50°

Therefore, we can write the measurements as -

a = 7.8b = 9.24(B) = 50°

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What is the domain of f x x²?

Answers

The domain of the function f(x) = x² is all real numbers, including negative numbers, zero, and positive numbers.

The domain of a function is the set of all values for which the function is defined. For the function f(x) = x², the domain is all real numbers. This includes negative numbers, zero, and positive numbers. This means that the function is defined for any real number, no matter how large or small. In other words, the domain of f(x) = x² is the set of all real numbers, {x ∈ R}. This is because the square of any real number is still a real number, and so the function is defined for all real numbers. Thus, the domain of f(x) = x² is all real numbers.

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World Connections long-distance phone company charges $50 per month plus 10 cents per minute for
each call.Write a linear equation for the total monthly cost of C for t minutes of long-distance calls.

Answers

A linear equation for the total monthly cost of long-distance calls, C, for t minutes is C = 50 + 0.1t.

What is a linear equation?

A linear equation is an algebraic or mathematical equation.

Linear equations are written in the form of  y=mx+b.

In this linear equation, y equals the value of the equation, m is the slope (unit rate), x represents the variable (a first-order term), and b is the y-intercept (fixed rate), which is always a constant.

The fixed cost monthly for long-distance phone calls = $50

The charge per minute = $0.10

Let the minutes of long-distance calls = t

Let the total monthly cost = C

Equation:

C = 50 + 0.1t

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In circle F, m/GFH = 140° and the area of the shaded sector = 14π. Find the length of FG.

Answers

Answer: 450 inches

Step-by-step explanation:

What is the scale factor of the dilation shown? 

Answers

the scale factor will be √5.

What is dilation?

resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ. A dilatation ought to either extend or contract the original form. The scale factor is a phrase used to describe this transition.

The scale factor is defined as the difference in size between the new and old images. An established location in the plane is the center of dilatation. The dilation transformation is determined by the scale factor and the center of dilation.

The given figure ABCD dilated to A'B'C'D'

take DC =√ (9-13)² + (4-7)²

DC = √16+9= 5

D'C' = √(4-6)²+(3-4)²

= √5

Hence the scale factor will be √5.

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At the beginning of the day the stock market 60 1/2 points and stays at this level for most of the day. At the end of the day the stock market goes up 90 3/4 points from the at the beginning of the day. What is the total change in the stock market from the beginning of the day to the end of the​ day?

Answers

The total change in the stock market from the beginning of the day to the end of the day is 30 1/4 points.

The number of rats living in an abandoned building increase each year. The total number of rats can be described by this sequence:

Answers

Answer:

I believe the answer to be increasing by increments of times 3 x3

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