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vodomira [7]
2 years ago
12

Explain how to solve 5^(x-2)=8 using log base b of y equals log y over log b. include the solution for x in your answer. round y

our answer to the nearest thousandth.
Mathematics
1 answer:
miskamm [114]2 years ago
5 0

The value of x will be equal to 2.477.

<h3>What is a logarithm?</h3>

The logarithm is the inverse function of exponentiation in mathematics. That is, the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised in order to obtain that number x.

The given expression will be solved as follows;-

5^{x-2}= 8

Taking Log on both sides.

Log_e 5^{x-2}=Log_e8

(x-2) Log5 = Log 8

( x-2) = Log8 / Log 5

(x - 2) = Log 8 - Log 5

(x - 2 ) = Log 3

x-2 = 0.477

x  =  2.477

Therefore the value of x will be equal to 2.477.

To know more about Logarithm follow

brainly.com/question/25710806

#SPJ1

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<img src="https://tex.z-dn.net/?f=%20-%207%20%2B%20%20%5Cfrac%7Bf%7D%7B2%7D%20%3D%20%20-%201" id="TexFormula1" title=" - 7 + \f
vovikov84 [41]

First you had to add by seven from both sides of equation form.

-7+\frac{f}{2}+7=-1+7

Then simplify by equation.

\frac{f}{2}=6

Next, you multiply by two from both sides of equation form.

\frac{2f}{2}=6*2

And finally, simplify by equation.

6*2=12

2*6=12

12/6=2

12/2=6

f=12

Final answer: \boxed{f=12}

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

3 0
3 years ago
Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t apples to Sylvia. If he kept the remaining apples, how many
Alex Ar [27]

Answer:

Number of apples remaining with him will be 2 when we combined both the conditions.

Step-by-step explanation:

Given;

Number of apples Jack Picked =76

Number of apples sold to Juanita = 4y

Number of apples sold to Sylvia = 3t

We need to find the Number of apples remaining with him.

Solution:

To find the Number of apples remaining with him we will Subtract Number of apples sold to Juanita and Number of apples sold to Sylvia from Number of apples Jack Picked.

framing in equation form we get;

Number of apples remaining with him = 76-4y-3t

Now Given:

Condition 1 : y ≥ 15 and t = 2

So we can assume y =16 and t =2

Number of apples remaining with him = 76-4\times16-3\times2 = 76 -64 -6 = 6

Also we can say that y =17 and t =2

Number of apples remaining with him = 76-4\times17-3\times2 = 76 -68 -6 = 2

So the Given data is Insufficient to find the Number of apples remaining with him.

Condition 2 : y = 17

Number of apples remaining with him = 76-4\times17-3t = 76 -68 -3t = 8-3t

Since value of t is not given we can say that;

Given data is insufficient to find the number of apples remaining with him.

Condition 3 : Combined i.e y = 17 and y≥ 15 t = 2

Number of apples remaining with him = 76-4\times17-3\times2 = 76 -68 -6 = 2

Hence we can say that Number of apples remaining with him will be 2 when we combined both the conditions.

7 0
3 years ago
Directions: Answer each question. The table below shows the available sizes and prices of Henry’s favorite movie popcorn. Use th
Alekssandra [29.7K]

Step-by-step explanation:

uuuuuuyyuuuuuuuuuuuuuyuuyyuuuuuuuuu

3 0
3 years ago
28 is increased by 150%. what's the final number
sp2606 [1]

Answer:

70

Step-by-step explanation:

20x(1+150%)

28x(1+1.5)

28x2.5

70

5 0
2 years ago
2/3 times 3 times 2/7
fomenos

Answer:

4/7

Step-by-step explanation:

2/7 x 3= 6/7. 6/7× 2/3=4/7

7 0
2 years ago
Read 2 more answers
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