5 * {125}^(x) = {5}^(2x - 2)

asked Oct 28, 2021 175k views

0 votes

$5 * {125}^(x) = {5}^(2x - 2)$

by Nalo

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5 votes

Answer:

x=-3

Step-by-step explanation:

$5 * {125}^(x) = {5}^(2x - 2)$

$5 * { ({5}^(3)) }^(x) = {5}^(2x) * {5}^( - 2)$

$5 * {5}^(3x) = {5}^(2x) * {5}^( - 2)$

$\frac{ {5}^(3x) }{ {5}^(2x) } = \frac{ {5}^( - 2) }{ {5}^(1) }$

${5}^(x) = {5}^( - 3)$

x = - 3

IHS answered Nov 3, 2021

by IHS

6.1k points

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