# Solving Equation with Indices – Same Base

## 2012 Oct Nov Paper 22 Q6

(i) Given that $$\frac{2^{x-3}}{8^{2 y-3}}=16^{x-y}$$, show that $$3 x+2 y=6$$.
(ii) Given also that $$\frac{5^{y}}{125^{x-2}}=25$$, find the value of $$x$$ and of $$y$$.

Available soon