# Solving an equation

## Homework Statement

To solve the following equation for x in terms of R and 3 constants a,b, and c:

R = ((a^-x)-(b^-x))/((c^-x)-(a^-x))

## Homework Equations

Just the given equation

## The Attempt at a Solution

I have tried taking the natural log of both sides but that doesn't seem to get me anywhere. Any suggestions?

$$R = \frac{1/a^x - 1/b^x}{1/c^x - 1/a^x}$$