Question

Express the following in logarithmic form:
$2={128}^{1/7}$

Answer 1

$2={\left(128\right)}^{1/7}$

$\Rightarrow {\log }_{2}2={\log }_2(128{)}^{1/7}$

$\Rightarrow 1=\frac{1}{7}{\log }_2\left(128\right)$

$\Rightarrow {\log }_2\left(128\right)=7$