Question

How do you solve `e^(3x)=20`?

Answer 1

`~~1`

Explanation:

`e^(3x)=20`

Taking `log_e` on both sides we have
`e^(3x)=20`

`=>log_ee^(3x)=log_e20`

`=>(3x)log_ee=log_e20 " "` using formula `log_em^n=nlog_em`

`=>(3x)=log_e20 " "` since `log_ee=1`

`=>x=log_e20/3 ~~3/3=1`