Question

How do you solve `2e^(0.5x)=45`?

Answer 1

`x=6.227`

Explanation:

As `2e^(0.5x)=45`, we have

`e^(0.5x)=45/2=22.5`.

Hence `0.5x=ln22.5` and

`x=ln22.5/0.5=ln22.5/(1/2)=2xxln22.5=2xx3.1135=6.227`