Question

How do you Find the inverse? Y=log6(x) +2

Answer 1

`x = \frac{6^y}{36}`

Explanation:

Start with `y = log_6(x) + 2`

`\therefore y-2 = log_6(x)` (subtracted `2` to both sides)

`\therefore 6^(y-2) = x` (considered both sides as exponents of `6`, and used the fact that `6^{log_6(x)}=x`)

So this is the inverse. If you prefer, you may rewrite it as

`6^(y-2) = 6^y\cdot 6^{-2} = 6^y\cdot 1/6^{2} = 6^y/36`