[tex]\begin{gathered} e^{5x}=20 \\ \text{Getting the 5th root of both sides} \\ e^x=\sqrt[5]{20}=20^{\frac{1}{5}}\text{ | We get the natural logarithm, ln of both sides} \\ log_ex=\ln x \\ \ln _{}e^x=\ln 20^{\frac{1}{5}} \\ x\ln e=\frac{1}{5}\ln 20 \\ x=\frac{1}{5}\times3=\frac{3}{5} \\ \end{gathered}[/tex]
Worthy of note: Ln refers to the natural logarithm of a number. By natural logarithm, its logarithm to the base of e, Euler's number.
