# How do you solve 16^b=88?

$b = 1.61486 \ldots . .$
${16}^{b} = 88$
$b {\log}_{10} \left(16\right) = {\log}_{10} \left(88\right)$
$\implies b = {\log}_{10} \frac{88}{\log} _ 10 \left(16\right)$
$\implies b = 1.61486 \ldots .$