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

Answers

Answer 1

Answer:

x = 1

Step-by-step explanation:

FACTS TO KNOW BEFORE SOLVING :-

Lets say , there's an expression → [tex]a = b^c[/tex]

In terms of logarithm , it can be written as → [tex]\log_b a = c[/tex]

SOLUTION :-

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

It can be also written as -

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

In L.H.S. , 64 can be written as 8² and in R.H.S. , 8 can be written as 8¹. So,

[tex]=> 8^{(\frac{x}{2} \times 2)} = 8^1[/tex]

[tex]=> 8^x = 8^1[/tex]

According to the law of exponents , the bases are equal in L.H.S & R.H.S. .So, their exponents in L.H.S. & R.H.S. must be equal.

[tex]=> x = 1[/tex]


Related Questions

hii darling pls help !!<3

Answers

Answer:

Hello! answer: y = 76

Because there vertical angles they Will have the same measure therefore y = 76 Hope that helps!

Find all the whole numbers between 2^2 and 3^2. Please show work.

Answers

Answer:

2^2 is 4 and 3^2 is 9 so you will have 4, 5, 6, 7, 8, and 9.

Step-by-step explanation:

2^2=4 and 3^2=9 so the whole numbers between 4 and 9 are 5,6,7,8.

no links please or random things!

Answers

a straight angle measures up to 180 so

62+(6d+4)=180

62+6d+4=180

66+6d=180

6d=180-66

6d=114

d=114/6

d=19

Answer:

Random things i think

A skydiver jumps from a plane 10,000 feet above ground level. The height of the skydiver above the ground, in feet, can be modeled using the polynomial −32t2+10,000 in the absence of friction. Use the interactive below to calculate the average velocity over various intervals and to make observations about the relationship between average velocity and instantaneous velocity.

Answers

Answer:

Step-by-step explanation:

average velocity=distance/time= ending position−starting height ending time−starting time

Find the range of the parent function below. y=√x

Answers

Answer:

The parent function of the functions of the form f(x)=√x−a+b is f(x)=√x . Note that the domain of f(x)=√x is x≥0 and the range is y≥0 .

Let (10, 24) be a point on the terminal side of an angle θ in standard position. evaluate the six trigonometric function of θ.

Sin,cos,tan,csc, sec, cot??

Answers

Step-by-step explanation:

x=10

y=24

r=√10²+24²=√100+576=√676=26

sin = y/r = 24/26

cos = x/r =10/26

tan=y/x = 24/10

csc = r/y=26/24

sec= r/x = 26/10

tan = x/y = 10/24

PLS HELP ME PLS PLS
what types of pollution in the great lakes has human activity caused? check all that apply

industrial waste
soil erosion
sewage disposal
runoff
air pollution

Answers

All of the above expect air pollution.

Part A
Mindy has $10.75 to buy school supplies. She spends $3.96 at one store for a package of glue sticks, but she still needs to buy 3 pens and a
notebook. At the next store, she finds pens for $1.39 each. What is the most she can spend or notebook if she buys the 3 pens?
. $2.62
$4.17
$5.40
$6.79
Part 3
Make a selection from each drop-down menu to create a true sentence
On a number line, the solution to Part A would have a circle at Choose(6.79 or 2.62 or 5.40 or 4.17)
that is Choose(closed or open)
and the number line
would be shaded Choose(to the left, to the right)

Answers

Answer:

Step-by-step explanation:

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Answers

Answer:

B, 0.4 in³

Step-by-step explanation:

A cone's volume is determined with the equation 4/3πr²(h/3). In this case, our radius is 0.5 because the diameter is 1, and our height is 3.5 inches. We plug those values into the equation to get approximately 0.92 in³.

Now for a sphere, the volume is determined by 4/3πr². Our diameter is 1, so our radius is 0.5, and pi is 3.14, so plugging that in we get about 0.52

Now we subtract the 2, 0.92 - 0.52 = 0.4

What is the value of x?
O 103
10
10
X
O 513
o 5
60°
2
3
4
5
6
7
8
9
10 11

Answers

Answer:

[tex]5\sqrt{3}[/tex]

Step-by-step explanation:

A triangle with angles of 30-60-90 will always have sides that measure in the following proportions:

The side opposite the 30* angle = a

The side opposite the 60* angle = [tex]a\sqrt{3}[/tex]

The side opposite the 90* angle = 2a

(I used "a" here because your question uses "x" and I don't want to confuse things, but usually people use "x" rather than "a")

They gave us that the hypotenuse (the side opposite the 90* angle) is 10, from there we can figure out the other sides:

Since the side opposite 90* is 2a, and 2a = 10, divide 10 by 2 and you get a = 5.

Once we know what "a" is, we can fill in the rest:

30* = 5

60* = [tex]5\sqrt{3}[/tex]

90* = 10

is this correct please help!!!

Answers

I have that question too can somebody help me

Answer:

The first one is square root, the second one is factoring and the third on is quadratic equation

Step-by-step explanation

Hope this helps! :)

A movie starts at 7:10 and ends at 9:03. How long does the movie last?

Answers

Answer:

1 hour and 53 minutes

Step-by-step explanation:

Let's start at 7:10.

7:10 - 8:10 is 1 hour.

8:10 - 9:00 is 50 more minutes.

Total so far is 1 hour 50 minutes.

9:00 - 9:03 is 3 more minutes.

Total would be 1 hour and 53 minutes

Hope this answer helped! :)

Answer:

1 hour and 53 minutes

Step-by-step explanation:

You just need to subtract the times form each other.

There are two ways to do this.

Subtract the number of minutes and convert into total hours and remainder minutes.

Or you can just do the simple way shown by the answer above.

I will show the subtracting minutes one since it can be a base for all .

First we find how many minutes are in 7 hours and 10 minutes, and nine hours and three minutes.

7 hours and ten minutes is 430 minutes. 9 hours and 3 minutes is 543 minutes.

543 - 430 is 113.

Then you divide, we are using the remainder type division.

113/60(60 minutes in one hour)

60 goes into 113 one time and leaves 53.

Therefore, it takes 1 hour and 53 minutes.

Guys pls help me!!!!!

Answers

I think c, 36 cubic feet. I’m not sure though

Find the slope of the line that goes through the points (-5,7) and (3,4)

Answers

Answer: your slope would be -0.375

hiiii! help asap, 15 points (:

Answers

The correct answer is C

Good luck on the rest :D

Answer:

D

Step-by-step explanation:

Joe needs to put a fence around the perimeter of a circular pool. The radius of the pool is 14 feet. How much fencing will Joe need to surround the entire pool? Leave your answer in terms of π.

Answers

Answer:

28[tex]\pi[/tex] feet

Step-by-step explanation:

Find how much fencing he will need by finding the pool's circumference:

Use the circumference formula, C = 2[tex]\pi[/tex]r

C = 2[tex]\pi[/tex]r

C = 2[tex]\pi[/tex](14)

C = 28[tex]\pi[/tex]

So, Joe will need 28[tex]\pi[/tex] feet of fencing

please help i dont understand​

Answers

Given:

A quadrilateral inscribed in a circle.

To find:

The value of x and y.

Solution:

If a quadrilateral inscribed in a circle, then it is known as cyclic quadrilateral and the opposite angles of a cyclic quadrilateral are supplementary angles, it means their sum is 180 degrees.

[tex]5x^\circ+110^\circ=180^\circ[/tex]                     [Supplementary angles]

[tex]5x^\circ=180^\circ -110^\circ[/tex]

[tex]x^\circ=\dfrac{70^\circ}{5}[/tex]

[tex]x^\circ=14^\circ[/tex]

The value of x is 14 degrees.

[tex]2y^\circ+104^\circ=180^\circ[/tex]                     [Supplementary angles]

[tex]2y^\circ=180^\circ -104^\circ[/tex]

[tex]y^\circ=\dfrac{76^\circ}{2}[/tex]

[tex]y^\circ=38^\circ[/tex]

Therefore, the value of x is 14 degrees and the value of y is 38 degrees.

PLSS HELP Solve x/3 = 6 for x. A) x=9 B) x=2. C) x=3. D) x= 18

Answers

Answer:

D: 18

Step-by-step explanation:

Can someone help me out with my math homework my grades are bad

Answers

Answer:

In first box, it’s 5

and then it’s 6/10

Step-by-step explanation:

Help )676()(9&:&:&:$:

Answers

Answer:

Step-by-step explanation:

Jana is making cookies use a recipe that calls for 3/4 cup of sugar if she doubles the recipe how many did she use

Answers

the doubled amount of sugar she would use is 1 1/2 cups

Answer:

6/4 or 1 1/2 or 1 2/4

Step-by-step explanation:

Hope this helps! Please leave any questions or concerns in the comments byeee <3

write an equation that represents the line.

Answers

Answer:

y = 2x+5 or -2x+y =5

Step-by-step explanation:

You can use the graph to help you find the solution. You are given your Y intercept as on of the points which is 5. Because you have that you can then count to were your next point is located or use the slope equation [tex]\frac{y2-y1}{x2-x1}[/tex], to find the slope.

3. If a frame usually sells for $13, and is on clearance for 55% off:
a. How much is the discount?
b. What is the final price of the frame?

Answers

Answer:

discount is -7.15

final price is $5.68

Step-by-step explanation:

55% of 13 = 7.15

subtract 7.15 from 13

Find the value of x.

Answers

Answer:

Step-by-step explanation:

sin^-1(7/16)= 25.9 degrees

PLZ HELP!! WILL GIVE BRAINLEST

Answers

The answer is (-2,5). Two left and and 5 up

Answer:

(2,5)

Step-by-step explanation:

If as commented it’s being reflected across the x- axis from the origin. Then, that should be the answer, I’m not positive but I hope I helped!

Good luck!

i will mark braniest if you watch
because i made a remake of a very funny dograve video and i just want to share it with the world
https://youtu.be/YPjEoCDrL88

Answers

Answer:

i watched it and it was cool and kinda funny

Step-by-step explanation:

good job

Answer:

ok

Step-by-step explanation:

I need help with this please it’s?

Answers

Answer:

the answer to the question is C

The sum of two numbers is 12. The first number, x, is twice the second number, y. Which system of equations could be used to find the two numbers?

A system of equations. x plus y equals 12. x equals 2 plus y.
A system of equations. x plus y equals 12. x equals 2 y.
A system of equations. x y equals 12. x equals 2 plus y.
A system of equations. x y equals 12. x equals 2 y.

Answers

Answer:

D) x+y=12, x=2y

Step-by-step explanation:

We know that x+y=12 and x=2y given the word problem, so D is correct.

Answer:

the answer is d

Step-by-step explanation:

i just did the test

PLEASE HELP ME I"M STUCK! I"LL OFFER BRAINLIEST!! ANY ABSURD ANSWERS WILL BE REPORTED!!

The weights of cans of mixed nuts are normally distributed with a mean of 400 grams and a standard deviation of 8 grams.


What percent of the cans of mixed nuts weigh less than 384 grams?



A.)2.5%

B.)5%

C.)13.5%

D.)47.5%

Answers

Answer:

C. This was hard to do when I had this question

mr. wallace surveyed 75 students at poole middle school to find out the students favorite place to eat lunch. the results are shown below. which table shows the approximate relative frequencies of mr. Wallace's data?​

Answers

Here is how the table would look (Although I cannot see the table, I have done this question before).

           Cafeteria Outside Total

Boys     21%       28%     49%

Girls    32%      19%      51%

Total   53%     47%     100%

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