Question

What is `x` in the equation `ln((x-2)^2) = 14`?

Answer 1

`x=e^7+2`

Explanation:

`ln(x-2)^2=14`

`2ln(x-2)=14`

Through the rule `lna^b=blna`.

`ln(x-2)=7`

`e^(ln(x-2))=e^7`

`x-2=e^7`

Since `lnx` and `e^x` are inverse functions.

`x=e^7+2`