Question

$5 \times {125}^{x} = {5}^{2x - 2}$
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Answer 1

Answer:

x=-3

Explanation:

$5 \times {125}^{x} = {5}^{2x - 2}$

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

$5 \times {5}^{3x} = {5}^{2x} \times {5}^{ - 2}$

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

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

$x = - 3$