Question

Solve 3^n=5. How to solve n?

Answer 1

`\huge\boxed{n=\log_35}`

Explanation:

`3^n=5\Rightarrow\log_33^n=\log_35\qquad\text{use}\ \log_ab^n=n\log_ab\\\\n\log_33=\log_35\qquad\text{use}\ \log_aa=1\\\\\boxed{n=\log_35}`