Finding the Inverse of this function

Question

Im trying to find the inverse of this function

$$x \mapsto\frac {113^x - 1}{112}\def\comment#1{}\comment{(pow(113.0, x)-1.0)/112.0} $$

But it always turn up incorrect. Can someone point me in the right direction?

Answer 1

$$y=\frac{113^x-1}{112}$$ $$112y+1=113^x$$ $$x\log 113=\log(112y+1)$$ $$x=\frac{\log(112y+1)}{\log 113}$$