Solve 5^(3x+5)=1/25^(1-5x)

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asked Mar 11, 2021 227k views

5 votes

Solve
5^(3x+5)=1/25^(1-5x)

Mathematics
middle-school

Anubhav C asked

by Anubhav C

4.4k points

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1 Answer

0 votes

Answer:

x = 1

Explanation:

${5}^((3x + 5)) = (1)/(25 ^((1 - 5x)) ) \\ \\ {5}^((3x + 5)) = \frac{1}{( {5}^(2)) ^((1 - 5x)) } \\ \\ {5}^((3x + 5)) = \frac{1}{{5} ^(2(1 - 5x)) } \\ \\ {5}^((3x + 5)) = {5}^( - 2(1 - 5x)) \\ \\ 3x + 5 = - 2(1 - 5x) \\ \\ 3x + 5 = - 2 + 10x \\ \\ 5 + 2 = 10x - 3x \\ 7 = 7x \\ \\ x = (7)/(7) \\ \\ \huge \red { \boxed{x = 1}}$