Question

What is `log_81 3` ?

Answer 1

`log_81 3 = 1/4`

Explanation:

The change of base formula tells us that for `a, b, c > 0` with `a != 1` and `c != 1` we have:

`log_a b = log_c b / log_c a`

Hence we find:

`log_81 3 = log_3 3 / log_3 81 = log_3 3 / log_3 3^4 = 1/4`