Question

How do you solve `log x^2 =2`?

Answer 1

`x = +-10`

Explanation:

Assuming that's the common log, take the base 10 exponential of both sides, that is, the "sideth" power of 10.

`log(x^2) = 2`
`x^2 = 10^2`

Take the root

`x = +-10`

Since `x^2` is positive for all values of `x` the only value of `x` we can't have is `0`, so both answers are okay.