Question

Find the value of x for which $5^{2x}÷5^{-3}=5^5$.

Answer 1

$5^{2x}÷5^{-3}=5^5\Rightarrow 5^{2x}÷5^5=5^{-3}\Rightarrow 5^{2x}=5^{5-3}=5^{2}Comparing,weget:2x=2\Rightarrow x=\frac{2}{2}=1\therefore x=1$