Question

In solve the equation `ln(x-1)=2`, what is the first step?

Answer 1

1) Take the exponential to base e on both sides to “undo” the natural logs:

Explanation:

Given `ln(x-1)=2`
Required steps to solve `ln(x-1)=2`
1) Take the exponential to base e on both sides to “undo” the natural logs:
`e^ln(x-1)=e^2`
Now `e^ln(x-1)= (x-1)` thus
`(x-1) = e^2 => x=e^2-1`