Question

How do you find the inverse of `y=log_6 x+5`?

Answer 1

`x=6^y/7776`

Explanation:

If `y=log_b x`, the inverse relation is `x=b^y`.

Here, `(y-5)=log_6 x`, and so, the inverse is

`x=6^(y-5)=6^y6^(-5)=6^y/6^5=6^y/7776`