Question

How do you solve `5e^(2x) = 500`?

Answer 1

`x=ln(100)/2`

Explanation:

We can start off by dividing both sides by `5`. We get

`e^(2x)=100`

We can take the natural log of both sides to cancel out base `e`. We get

`ln(e^(2x))=ln(100)`

`=>2x=ln(100)`

`x=ln(100)/2`

I chose to not evaluate `ln(100)` so we could get an exact answer, but it will evaluate to about `4.6`, and dividing it by `2` would give us about `2.3`.

Hope this helps!