MATHEMATICS HIGH SCHOOL

Express 53 = x as a logarithmic equation.

Answers

Answer 1

Answer:

Answer:

$\log_5 x = 3$

Step-by-step explanation:

Using logarithmic rule:

$\log_b b^a = a$

Given the equation:

$5^3 = x$

Taking log with base 5 both sides we have;

$\log_5 5^3 = \log_5 x$

Apply the logarithmic rule:

$3 = \log_5 x$

$\log_5 x = 3$

Therefore, $5^3 = x$ as a logarithmic equation is, $\log_5 x = 3$

Answer 2

Answer: log5x=3 I think is the answer

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What is 14.2% expressed as a decimal?
(i think its 0.142)

Answers

Hi there! To turn a percent like 14.2 we make our denominator 100 so that we have 14.2/100. 14.2÷100=0.142. Therefore, you were correct.

Find all the real square roots of 0.0064

Answers

$√(0.0064)$
=0.08

The square root of $√(0.0064)$ is 0.08

You can check by doing the opposite operation to square root, which is squaring.
$0.08^(2)$
=0.0064

A rectangular swimming pool is 25 ft long and 20 1/2 ft wide, and it must be filled to a depth of 4 1/2 ft. One cubic foot of water is equal to 7 1/2 gallons. How many gallons of water will it take to fill the pool?

Answers

ANSWER

307½ gallons of water

EXPLANATION

The volume of the rectangular swimming pool is

$V = l * w * h$

where l=25ft and w=20½ ft.

when it is filled to a depth of 4½ ft ,then the height is , h=4½ ft.

We substitute these values into the formula to get:

$V = 25* 20.5* 4.5$

$V = 2306.25 {ft}^(3)$

If one cubic foot of water is 7½ gallons, then 2306.25 cubic feet will be

$(2306.25)/(7.5) = 307.5gallons$

We need 307.5 gallons of water to fill the pool.

Helloooo any help :( ?

Answers

Answer:

1/2p+2=3 1/2

Step-by-step explanation:

Answer:

$\frac12p+2 = 3\frac12$

Step-by-step explanation:

The time he spends is the sum of the mandatory 2 hours and p times the half hour per puzzle. It has to end up to 3 1/2, so that's how you get the equation.

Of course, you can solve it as

$p = (1\frac12)/(\frac12) = 3$

1/X 1/4=7/12 solve and check solution

Answers

$\frac { 1 }{ x } +\frac { 1 }{ 4 } =\frac { 7 }{ 12 } \n \n \frac { 1 }{ x } =\frac { 7 }{ 12 } -\frac { 1 }{ 4 }$

$\n \n \frac { 1 }{ x } =\frac { 7 }{ 12 } -\frac { 3 }{ 12 } \n \n \frac { 1 }{ x } =\frac { 4 }{ 12 } =\frac { 1 }{ 3 } \n \n 3x\cdot \frac { 1 }{ x } =\frac { 1 }{ 3 } \cdot 3x\n \n x=3$

1/x+1/4=7/12 , 1/x+3/12=7/12 , 1/x=4/12=1/3 , x=3

What are the zeros of (x-2)(x^2-9)

Answers

So because the factors of the equation are (x-2), (x+3) and (x-3), you set them equal to zero and you get x=2, -3, and 3

   (x - 2)(x² - 9) = 0
      (x - 2)(x² + 3x - 3x - 9) = 0
(x - 2)(x(x) + x(3) - 3(x) - 3(3)) = 0
   (x - 2)(x - 3)(x + 3) = 0
x - 2 = 0 or x - 3 = 0 or x + 3 = 0
+ 2 + 2    + 3 + 3 - 3 - 3
   x = 2    x = 3    x = -3

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Which mathematical sentence most accurately expresses the information in the problem below?Crystal has 100 compact discs that she wants to put into boxes each of the boxes that she brought home holds 15 discs how many of these boxes will she need for all of her disks? A: 100-b=15 B: b+15=100 C: 15b<100 D: 15b> (or equal to) 100

HELP ME WITH THIS PLZZZZ

How much is a 1935 wheat penny worth?

A bowl contains 8 blue marbles and 5 green marbles. Elizabeth randomly draws 4 marbles form the bowl. she does not replace the marbles after each draw. what is the probability that she draws 1 blue marble and 3 green marbles?A. 4/13B. 13/143C. 4/143D. 16/143