Solve for x in ½ logx64 = 3


(A)
2


(B)
1


(C)
4


(D)
3

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Using the rules of logarithms

log[tex]x^{n}[/tex] = n logx

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

Given

[tex]\frac{1}{2}[/tex][tex]log_{x}[/tex] 64 = 3

[tex]log_{x}[/tex][tex]64^{\frac{1}{2} }[/tex] = 3

[tex]log_{x}[/tex] 8 = 3

8 = x³

2³ = x³ , then

x = 2


Related Questions

What coordinates do I plot at

Answers

Answer:

Step-by-step explanation:

y - 10 = -2(x - 10)

y - 10 = -2x + 20

y = -2x + 20 + 10

y = -2x + 30

When x = 0  ;   y = 0 + 30 = 30         ;  (0,30)

When x = 10 ;   y = -2*10 + 30 = -20 +30 = 10   ; (10 , 10)

When x = 5  ;  y = -2*5 + 30 = -10 + 30 = 20    ; (5 , 20)

Plot ( 0 ,30) ; (10,10)  & (5,20)

I’ll give brainliest if you explain thoroughly and well.

The width of a rectangle is one third the length. The perimeter is 48 cm. Find the length and width.

Answers

Answer:

if 2 length + 2 width is the perimeter, then 2(L+W)=P. if w is 1/3 of L, then W=1/3L, and from there we work back. half of 48 for just one length and one width, we have 24. we want one-third of length+length, so 4 parts. we are left with L=18 and W=6. 18+6=24, x 2= 48. I'm sorry if this was confusing, but I hope this helps!

Explain why a step in solving the equation 4n= -36 is to divide both sides by 4. Then solve the equation

Answers

The correct value of ''n'' in this equation will be -9

Step-by-step explanation:

In order to find the value of ''n'' in this equation of the first degree, just isolate ''n'', and divide the right side into the left side of the equation:

Resolution:

[tex]\large \sf 4n= -36[/tex]

[tex]\large \sf n= -36\div4[/tex]

[tex]\large \sf n= \dfrac{-36}{4}[/tex]

[tex]\boxed{\boxed{{\large \sf n=-9}}}[/tex]

So we can conclude that the value of ''n'' in this equation will be -9

Brax has $12.00 to spend at the gift shop. He wants to buy a book for $7.50 and a dinosaur for $3.75. What change will Brax have after he purchases these items?

Answers

so i think this is how you do it im sorry if it isn’t

you do 7.50+3.75 which gives you 11.25 and you subtract 12.00 which gives you 75 cents :)

PLEASE HELP!!! WORTH 50 PTS
6.7 Problem 12
A given bacteria culture initially contains 2500 bacteria and doubles every half hour. The number of bacteria p at a given time t is given by the formula p(t)=2500ekt for some constant k. (You will need to find k to answer the following.)

(a) Find the size of the bacterial population after 20 minutes.

(b) Find the size of the bacterial population after 9 hours.

Answers

Answer:

I think it is 392=but am not sure

who can solve this equation and get the right answer
solve x-2y=12 if the domain is {-3,-1,0,2,5}

Answers

Answer:

x-2y=12

Solve for y

x-2y=12

Subtract x on both sides

-2y=-x + 12

Divide both sides by -2

y=\frac{1}{2}x - 6y=21x−6

the domain is {-3,-1,0,2,5}

Domain are the set of x values

Range are the set of y values

We are given with domain x, we need to find out y values using the equation y=\frac{1}{2}x - 6y=21x−6

when x=-3 , y=\frac{1}{2}(-3)-6=\frac{-15}{2}=-7.5y=21(−3)−6=2−15=−7.5

when x=-1 , y=\frac{1}{2}(-1)-6=\frac{-13}{2}=-6.5y=21(−1)−6=2−13=−6.5

when x=0 , y=\frac{1}{2}(0)-6=-6y=21(0)−6=−6

when x=2 , y=\frac{1}{2}(2)-6=-5y=21(2)−6=−5

when x=5 , y=\frac{1}{2}(5)-6=\frac{-7}{2}=-3.5y=21(5)−6=2−7=−3.5

Range is {-7.5, -6.5, -6 , -5, -3.5}

Step-by-step explanation:

solve the equation ? 1 equation with 2 variables ? that is not possible.

what you mean is probably find the range.

x - 2y = 12

-2y = -x + 12

2y = x - 12

y = (x - 12)/2 = (1/2)x - 6

x = -3

y = 1/2 × -3 - 6 = -1.5 - 6 = -7.5

x = -1

y = 1/2 × -1 - 6 = -0.5 - 6 = -6.5

x = 0

y = 1/2 × 0 - 6 = -6

x = 2

y = 1/2 × 2 - 6 = 1 - 6 = -5

x = 5

y = 1/2 × 5 - 6 = 2.5 - 6 = -3.5

so, the corresponding range of the function is

{-7.5, -6.5, -6, -5, -3.5}

What number combination equals -125

Answers

This is the answer: 5-130=-125

Answer:

-25(5)

Step-by-step explanation:

-25 ×5 = -125

Margie's hourly salary is $6. 75. Last week she worked a 20âhour week. How much did she earn?.

Answers

Answer:

125

Step-by-step explanation:

6.25 x 20 = 125

What is the value of 8 + z, when z = 5?
0 5
0 3
O 12
O 13

Answers

Answer:

8 + z = 13.

Step-by-step explanation:

8 + z = ?

z = 5

8 + 5 = ?

8 + 5 = 13.

Answer:

13

Reasoning

[tex]8+z=?[/tex] when z=5

[tex]8+5=13[/tex]

HELPPP.!! I don’t understand

Answers

False I think it is a solution
i think it’s false.

how many boxes should show on grid for 3/8=18 eggs​

Answers

The number of box is an illustration of proportions

8 boxes must be shown on the grid

The proportion is given as:

[tex]\mathbf{\frac{3}{8} = 18\ eggs}[/tex]

The above proportion means that:

3/8 of the total number of eggs is 18

Let the total number of eggs, be x

So, we have:

[tex]\mathbf{\frac{3}{8} \times x= 18\ eggs}[/tex]

Express 3/8 as a decimal

[tex]\mathbf{0.375 \times x= 18\ eggs}[/tex]

Divide both sides by 0.375

[tex]\mathbf{x= \frac{18}{0.375 }\ eggs}[/tex]

[tex]\mathbf{x= 48\ eggs}[/tex]

This means that, the total number of eggs is 48, and 8 boxes must be shown on the grid

Read more about grids and proportions at:

https://brainly.com/question/23487577

(a)Find the greatest common factor (GCF) of 16 and 6.
(b)Use the GCF to factor 16 +6.

Answers

Answer:

2 x (8 + 3)

Step-by-step explanation:

b) 16 + 6 = 2 x (8 + 3)

=> 22 = 2(11)

=> 22 = 22

Therefore, 2 x (8 + 3) is your answer.

Find the third side in simplest radical form:

Answers

Step-by-step explanation:

[tex]by \: pythogorus \: law \\ {x}^{2} = ( { {29}^{2} - {21}^{2} })^{ \frac{1}{2} } \\ = \sqrt{20} \\ = \sqrt{4 \times 5 } \\ = 2 \sqrt{5} [/tex]

geometry solve for X

Answers

okay so isosceles triangle by the look of it, which mean that’s two sides and two angles must be the same and if you make the two given equations equal to each other then you should get x=22

Order these numbers from least to greatest.
104/25
4.104
4 1/10
4.74

Answers

I believe it would be 4 1/10 ,4.104, 104/25, 4.74

What is the inequality shown?
-2 -1 0 1 2 3 4 5 6 7 8

Answers

Answer:

- 2 ≤ x < 8

Step-by-step explanation:

The closed circle at x = - 2 means that x can equal - 2

The open circle at x = 8 means that x cannot equal 8

All value in between are possible values for x, then the inequality is

- 2 ≤ x < 8

so sorry if im wasting your time its just that i need help plsssssss im gonna fail so badly so help?

Answers

The ANSWER for this question is C.85

Maribel is taking advantage of the sale at Cassieś Cashew shoppe.she wants to figure out how much she will save on a purches of $34.Maribel´s percent ruler is shown below.Copy the ruler on your paper and help her figure out what 20% of $35 is.

Answers

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the money that Maribel would save on the sale.

Since she would save 20% on purchases, hence money saved on purchase of $35 is:

x = 20% of $35 = 0.2 * 35 = $7

Maribel saves $7 on the purchase of $35.

Find out more on equation at: https://brainly.com/question/2972832

PLS ANSWER QUICKLY What is the best approximation of the solution to the system to the nearest integer values? (7, 0) (0, 6) (7, 1) (1, 7)

Answers

Answer:

0 = 0 = 0 = 0 = 0 < 1 < 6 < 7

0 is equal to 0 is equal to 0 is equal to 0 is equal to 0 is less than 1 is less than 6 is less than 7

0/

1

= 0/

1

= 0/

1

= 0/

1

= 0/

1

< 1/

1

< 6/

1

< 7/

1

Step-by-step explanation:

Answer:

the correct answer is (1, 7)

Step-by-step explanation:

Surface area of a triangular prism

Answers

Answer:

Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

Step-by-step explanation:

BRAINLIEST?

What are the places in decimals called.

Answers

Answer: the tenths place

Step-by-step explanation:

Jamya mixes 3 cups of soda with 5 cups of punch. How much does she mix with 18 cups of punch?

Answers

Answer:

Well we can make a proportion in this scenario

So 3 cups of soda to 5 cups of punch

And how much soda for 18 punch.

Well we can do this

make “x” the amount of soda

And then make a proportion

3/5 = x/ 18

Now solve

You can cross multiply

54=5x

x=10.8

10.8 soda

help me i need help!!!!!!!!!

Answers

Answer:

y=88

Step-by-step explanation:

Angles in a triangle equal 180

45 + 47 = 92

180 - 92 = 88

Answer:

88

Step-by-step explanation:

The two other angles add up to 92. Because the angles of a triangle, 180-92=y. We subtract to get 88.

Solve for y.

y − 25 = 11

y =

Answers

ANSWER :

y - 25 = 11

y = 25 + 11

y = 36

Answer:

y = 36

Step-by-step explanation:

y - 25 = 11y = 11 + 25y = 36

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.

Answers

Answer:

13 ≈ 10 miles

Step-by-step explanation:

Have a nice day

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving So, the straight-line distance from your starting point is 13 miles.

What is Pythagoras' Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving,

[tex]|AC|^2 = |AB|^2 + |BC|^2 \\\\|AC|^2 = |5|^2 + |12|^2 \\ \\|AC|^2 = 25 + 144 \\\\AC = \sqrt{169} \\\\AC = 13[/tex]

Learn more about Pythagoras' theorem here:

https://brainly.com/question/12105522

#SPJ2

If you subtract a negative number from that same number you are taking a negative amount from the negative number you started with which means you are making it more positive. Subtracting a negative number is the same as adding a positive one. Such as (-5) - (-6) = 1.

Answers

Answer:

Step-by-step explanation:

If u got two negative number such as (-6)+(-7) your answer will be positive 13.

If u got one negative number and one positive number like (-10)-(5) the answer will be negative like -5

what is an complementary angle?

Answers

Step-by-step explanation:

Angles whose sum is 90° .

For ex - 30° and 60°

Answer/Step-by-step explanation:

Complementary angle is two angle that add up to 90 degree.

Complementary angle also put together form a right angle.

ex:

To determine the complement, subtract the given angle from 90. 90 - 43 = 47° The complement of 43° is 47°.

Mindy can a drive a total of 375 miles on a full tank of gas, which is 25 gallons. Based on this information, what is the constant of proportionality?

25

15

375

10

Answers

Answer:

15

Step-by-step explanation:

[tex]\frac{25}{375} = \frac{1}{x}[/tex]

Cross multiply to get 25x = 375

Divide each side by 25 to get x = 15

Hello.My question is......what are my chances of rolling a 4 when i throw a dice if i rollo it two times?

Answers

Answer:

Step-by-step explanation:

3

Answer:

1/6 because wanting to roll a four every time you roll a dice is going to be a 1.6 chance since there is only one 4

Step-by-step explanation:

Percentage of 75 and 80

Answers

The answer will be:-

0.75

0.80

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