Question

For each sentence below, find the value of x that makes each sentence true.

(5 1/5) 5 = 25 x x =


(8 1/3) 2 = 4 x x =

Answer 1

x = 0.5, x = 1

Explanation:

(5 1/5) 5 = 25^x

5/25 = 25^x/25

0.5 = x

(8 1/3) 2 = 4^x

4 = 4^x

1 = x

Answer 2

Hey!

I'll brake down every step (these steps wont have words, but if need any help, drop a comment)... And show you all the work, hope this helps...

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Fractions Simplified

5 (1/5) > 26/5 > 5.2

8 (1/3) > 25/3 > 8.3333

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First Problem

(5 1/5) 5 = 25x; x = ?

(5.2)*5 = 25x; x = ?

26 = 25x; x = ?

x = 26/25

x = 1.04

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Second Problem

(8 1/3) 2 = 4x; x = ?

(8.3333)*2 = 4x; x = ?

16.66666 = 4x; x = ?

x = 16.66666/4

x = 4.166666

Estimated: x = 4.1667