USE LAWS OF EXPONENT TO FIND THE VALUE OF X
㏒ ₆₄ 8=X÷2

Answers

Answer 1

Answer:

x = 1

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

Given

[tex]log_{64}[/tex] 8 = [tex]\frac{x}{2}[/tex] , then

8 = [tex]64^{\frac{x}{2} }[/tex]

note 64 = 8² , so

8 = [tex](8^2)^{\frac{x}{2} }[/tex] = [tex]8^{x}[/tex]

Since bases on both sides are equal, both 8 then equate the exponents

x = 1


Related Questions

find the slope of each line.

Answers

Answer:

-1/2

Step-by-step explanation:

URGENT PLEASE HELP ME !!!!

Answers

Step-by-step explanation:

2x + (x + 96) = 180

3x + 96 = 180

3x = 84

x = 28

Therefore,

angle 1 = 2x = 58°

angle 2 = x + 96 = 124°

What is the surface area of the cylinder?

A. 289pi
B. 937pi
C. 1,156pi
D. 578pi

Answers

Answer:

D. 578pi

Step-by-step explanation:

Sorry if that's wrong

Which statement is true? I am giving a lot of points away for this so please provide the correct answer and an explanation.

Answers

Answer:

the second option from the top

Answer:

2nd answer

Step-by-step explanation:

The water in the tank is decreasing at a rate of 2 gallons per minute

After 5 minutes the tank went from 30 to 20 (30-10)

10÷5=2 gallons per minute

Which number is a factor of the prime factorization of 60?
15
6
3
9

Answers

Answer:

3

Step-by-step explanation:

The actual prime factors of 60 are 2, 3, and 5.

Answer:

3

Step-by-step explanation:

prime fatorizations are 2, 3, and 5

How does the graph of the function g(x)=7^x+5 differ from the graph of f(x)=7^x?

Answers

Answer:

see explanation

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Given g(x) = [tex]7^{x}[/tex] + 5

Then this is the graph of f(x) shifted vertically up by 5 units

Graph the line below:
y = -2x + 7

Answers

Answer:

Below.

Step-by-step explanation:

When x = 0, y = 7

and when y = 0, x = 3.5.

So plot the 2 points (0, 7) and (3.5, 0) on the grid and draw a straight  line through these 2 points.

Connect these points [tex](\frac{7}{2} ,0)[/tex] and [tex](0, 7)[/tex] through a straight line. And this line represents [tex]y = -2x + 7[/tex].

How to graph a line?

To graph a line we follow the following steps:

Find the y-intercept = b of the equation y = mx + b.Plot the y-intercept. The point will be (0, b).Plot the x intercept. The point  will be (x, 0). Connect those two points with your line.

According to the given question.

We have a equation of line

[tex]y = -2x+7[/tex]

The above equation of line is already in the slope intercept form.

So, the graph the line y = -2x + 7.

We first find the y intercept.

On comparing the above equation with y = mx + b, we get y = 7.

⇒ The point (0, 7) is our y intercept.

Therefore, we plot the y intercept or mark the point (0, 7) on graph.

Then we find the x intercept.

[tex]0 = -2x + 7[/tex]   ( substitute y = 0)

⇒[tex]x = \frac{7 }{2}[/tex]

⇒ ([tex]\frac{7}{2}[/tex], 0 ) is our x intercept.

Connect these points [tex](\frac{7}{2} ,0)[/tex] and [tex](0, 7)[/tex] through a straight line. And this line represents [tex]y = -2x + 7[/tex].

 

Find out more information about how to graph a line here:

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8 less that the product of 2 and a number is 16. find the number

Answers

Answer:

x=12

Step-by-step explanation:

2x-8=16(add a to both sides)

2x=24(divide by 2)

x=12

For school lunch students have 3 meat choices (beef, chicken, or fish), 2 potato choices (mashed or fried), and 3 drink choices (milk, juice, or water).

How many different combinations could students create using one meat, one potato and one drink?

Answers

Answer: The answer is 15

7. If AMIJ = AKIL, identify any corresponding congruent sides
and angles for the triangles.
More than one answer may be correct; select all that apply.
HELP I DONT GET IT

Answers

Mij kil are the correct answers

The ratio of boys to girls in a class is 4:5

A) what fraction of the girls are boys?

B) what fraction of the class are girls?

Answers

Answer:

1/5

Step-by-step explanation:

bahaoapapkaknisegheusi

You want to make a retangular prism out of carboard. The base is 3 feet by 4 feet. The height is 2 feet. You have $5.00 and cardboard costs .10 per square foot. What is the surface area of the rectangular prism? How much will it cost to make teh retangular prosm out of cardboard?

Answers

Answer:

a) 24 square feet

b) $12

Step-by-step explanation:

You want to make a retangular prism out of cardboard. The base is 3 feet by 4 feet. The height is 2 feet. You have $5.00 and cardboard costs .10 per square foot.

a) What is the surface area of the rectangular prism?

Length × Width × Height

3 feet × 4 feet × 2 feet

= 24 square feet

b).How much will it cost to make the rectangular prism out of cardboard?

1 ft² = $0.5

24 ft² = x

Cross Multiply

x = 24ft² × $0.5/1 ft²

x = $12

It would cost $12 to make the rectangular prism out of the cardboard. You do not have sufficient money to make it


7. Write an inequality: Twenty-two more than four times a number is less
than 82.
a) 22 + 4n ≤ 82
b) 22 + 4n > 82
c) 22 + 4n < 82
d) 82+22n ≥ 4

Answers

Answer is C because it's less than.

The answers is C) because it’s less than

Which shapes would appear in the two-dimensional net of a hexagonal pyramid?
O 2 hexagons and 4 triangles
2 hexagons and 4 rectangles
1 hexagon and 6 triangles
1 hexagon and 6 rectangles

Answers

Answer:

the answer is C, 1 hexagon and 6 triangles.

Step-by-step explanation:

i just did it.

Answer:

C!!!

Step-by-step explanation:

just did it

HELP IS FOR TODAYY
one month period.
The histogram below represents the high temperatures recorded each day over a one month period.

A)There are 30 days will put it on the histogram
B)There were eight days the had a daily high temperature of at least 86°F
C)There were 27 days that had a daily high temperature lower than 90°F
D)If the medium were to be calculated at 82.5° then a feasible mean would be 81.6
E)The data is skewed right

Answers

I believe the correct answer is B

he angle measurements in the diagram are represented by the following expressions.
\qquad \blueD{\angle A= 5x - 5^\circ}∠A=5x−5

start color #11accd, angle, A, equals, 5, x, minus, 5, degrees, end color #11accd \qquad \greenD{\angle B= 3x + 13^\circ}∠B=3x+13

Answers

Answer:

<B = 40degrees

x = 9

Step-by-step explanation:

Find the diagram attached. From the diagram, <A = <B (corresponding angle)

5x - 5 = 3x+ 13

5x - 3x = 13 + 5

2x = 18

x = 18/2

x = 9

Since <B = 3x+13

<B = 3(9) + 13

<B = 27 + 13

<B = 40degrees

Answer:

It was 48

Step-by-step explanation:

Did it on khan hope this helps :)

Plssss help me cuhhh

Answers

Answer:

i believe your answer is C. Rectangle

Step-by-step explanation:

I hope this helps! :D

maybe consider brainliest?

Find the value of C

Answers

Answer:

Cos 72 = 15/c

0.3090 =15/c

C=48.54

51 is 340% percent of what number?

Answers

Answer:

51 is 340% of 1500

Step-by-step explanation:

Answer:

15.

Step-by-step explanation:

have  a great day!

Jenny is making a quilt from the pattern blocks shown below.
Which block has a pattern with exactly 4 lines of symmetry? (

Answers

Answer:

A

Step-by-step explanation:

I need help again pls.

Answers

Answer:

1) 300

Step-by-step explanation:

2(108+18+24)= 150(2)= 300

I think that the answer would be 150

A business wants to try out two new shampoo brands (brand A and brand B) on customers who use the business's existing shampoo brand. The best method for this study is
.

Answers

Answer:

B) Experiment

Step-by-step explanation:

Answer:

Experiment

Step-by-step explanation:

PLATO

what is 2,36+5,4-3,47 equal to​

Answers

Answer:

4.29

Step-by-step explanation:

consider the function y=1/2cos(2x)-1

Answers

The correct statement the midline of the function, y=-1.

The correct option id (D)

What is triangle wave function?

A triangular wave or triangle wave is a non-sinusoidal waveform named for its triangular shape. It is a periodic, piecewise linear, continuous real function. Triangle wave. A bandlimited triangle wave pictured in the time domain (top) and frequency domain (bottom).

The given function is:

y= 1/2 cos(2x)-1

Now,

The amplitude of the given function is, A= 1/2 = 0.5

The domain of the function is -∞<x<+∞

The period of the function is π.

The midline of the function, y=-1

Thus, the fourth point is correct.

Learn more about triangle function here:

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The following data represents the high temperatures for the next several days in Buffalo, NY: {17, 26, 3, 13, 20, 34, 30, 41} Find the mean absolute deviation. If necessary round to the nearest hundredth.

Answers

The mean would be 23, because the mean is all of the numbers added together, and then the sum divided by however many numbers there are. So all of those temperatures added together and then divide it by 8! Hope this helps

5. The swimming pool shown below is a right prism with concave hexagonal bases. The owners of the pool want to paint the sides and bottom of the pool. If one gallon of paint covers 400 square feet, how many gallons of paint will be needed to paint the inside of the pool?

Answers

Answer:

https://estudy-helpers.com/history/question22769478#

Step-by-step explanation:

hope found the answer

Type the correct answer in each box. If necessary, use / for the fraction bar(s).

Answers

Given:

The values are [tex]a=0.\overline{6},b=0.75[/tex].

To find:

The values of [tex]ab[/tex] and [tex]\dfrac{a}{b}[/tex].

Solution:

We have,

[tex]a=0.\overline{6}[/tex]

[tex]a=0.666...[/tex]                     ...(i)

Multiply both sides by 10.

[tex]10a=6.666...[/tex]                 ...(ii)

Subtracting (i) from (ii), we get

[tex]10a-a=6.666...-0.666...[/tex]

[tex]9a=6[/tex]

[tex]a=\dfrac{6}{9}[/tex]

[tex]a=\dfrac{2}{3}[/tex]

And,

[tex]b=0.75[/tex]

[tex]b=\dfrac{75}{100}[/tex]

[tex]b=\dfrac{3}{4}[/tex]

Now, the product of a and b is:

[tex]ab=\dfrac{2}{3}\times \dfrac{3}{4}[/tex]

[tex]ab=\dfrac{1}{2}[/tex]

The quotient of a and b is:

[tex]\dfrac{a}{b}=\dfrac{\dfrac{2}{3}}{\dfrac{3}{4}}[/tex]

[tex]\dfrac{a}{b}=\dfrac{2}{3}\times \dfrac{4}{3}[/tex]

[tex]\dfrac{a}{b}=\dfrac{8}{9}[/tex]

Therefore, the required values are [tex]ab=\dfrac{1}{2}[/tex] and [tex]\dfrac{a}{b}=\dfrac{8}{9}[/tex].

Answer:

ab = 1/2 and a/b = 8/9

Step-by-step explanation:

took test

PLS HELP ILL GIVE BRAINLIEST

1. What is the radius of the red circle?

2. What is the radius of the blue circle?

3. What is the equation for the red circle?

4. What is the equation for the blue circle?

Answers

Answer:

n

Step-by-step explanation:

n

The volume of a cone is 763.02 cubic inches. The radius and height of the cone are equal. What is the radius of the cone?

Answers

Answer:

The radius of the cone is 9cm

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cone

The volume of a cone is expressed as

V=1/3(πr²h)

We were told that the radius r and the height h are equal

I.e r=h

Substituting h=r in the formula we have

V= 1/3(πr²*r)

V =1/3(πr³)

To find the radius r let us substitute our given 763.02cm³ (note we assume unit in cm)

763.02= 1/3(3.142r³)

763.02= (3.142r³)/3

763.02*3=3.142r³

2289.06=3.142r³

r³=2289.06/3.142

r³= 728.54

r= ³√728.54

r= 8.99cm

≈r= 9cm

hope this helps

Identify the solutions to the graph below.

Answers

Answer:

(-2,-3)

Step-by-step explanation:

x-axis is -2 and y-axis is -3

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