Question

${3}^{x } = {5}^{x - 2}$
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Answer 1

Answer:

$your \: answer \: is \:$

${15}^{ - 2}$

Answer 2

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

$\\ Apply \: log \: on \: both \: sides \:$

$\\ log \: {3}^{x} = log \: {5}^{x - 2}$

$\\ = > x \: log \: 3 = (x - 2) \: log \: 5$

$= > x \: log \: 3 = x \: log \: 5 - 2 \: log \: 5$

$= > 2 \: log \: 5 = x \: log(5 - 3)$

$= > 2 \: log \: 5 = x \: log \: 2$

$= > \frac{2 \: log \: 5}{ {}^{log}2 } = x$

$= > \frac{log \: {5}^{2} }{ {}^{log} 2} = x$

$= > \frac{log \: 25}{ {}^{log} 2}$

I hope this will help you dear..

Always stay safe and stay healthy..