# Solve the following exponential equations. 16^{1-x}=2^{5x}

Solve the following exponential equations.
${16}^{1-x}={2}^{5x}$
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Step 1
The objective is to solve the exponential equations.
Step 2
${16}^{1-x}={2}^{5x}$
$⇒{\left({2}^{4}\right)}^{1-x}={2}^{5x}$
$⇒{2}^{4-4x}={2}^{5x}$
$⇒4-4x=5x$
$⇒9x=4$
$⇒x=\frac{4}{9}$
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