assuming you meant e⁴ thus
[tex]\bf ln\left( \sqrt[7]{e^4} \right)\implies log_e\left( e^{\frac{4}{7}} \right)\\\\
-----------------------------\\\\
log_{{ a}}{{ a}}^x\implies x=x\impliedby \textit{let's use this cancellation rule}\\\\
-----------------------------\\\\
log_e\left( e^{\frac{4}{7}} \right)\iff \cfrac{4}{7}[/tex]
