Question

What is the inverse of f(x) = 6^x?

Answer 1

The inverse function is ln(x)/ln(6)

Explanation:

1. Replace all x terms with y. Replace f(x) with x.

2. Isolate y.

3. Replace y with f’(x)

f(x) = 6^x

x = 6^y

ln(x) = y * ln(6)

y = ln(x)/ln(6)

f’(x) = ln(x)/ln(6)