# Inverse of log function

posted by
**Jen**
.

Find the inverse of

f(x) = log(2+x) - 4

the base is "a"

Call f(x) y

y = loga(2+x) -4

y+4 = loga(2+x)

a^(y+4) = 2 + x

x = a^(y+4) - 2

drwls, you have merely solved the equation for x.

The question was to find the "inverse", so the actual answer should be

y = a^(x+4) - 2