Question Number 149775 by mathdanisur last updated on 07/Aug/21
$$\mathrm{Solve}\:\mathrm{the}\:\mathrm{equation}: \\ $$$$\mathrm{5}^{\boldsymbol{\mathrm{x}}} \:=\:\left(\mathrm{3}^{\boldsymbol{\mathrm{x}}} \:−\:\mathrm{2}^{\boldsymbol{\mathrm{x}}} \right)^{\mathrm{2}} \\ $$
Commented by amin96 last updated on 07/Aug/21
$$\left(\mathrm{9}−\mathrm{4}\right)^{{x}} =\left(\mathrm{3}^{{x}} −\mathrm{2}^{{x}} \right)^{\mathrm{2}} \Rightarrow\:\left(\mathrm{3}^{\mathrm{2}} −\mathrm{2}^{\mathrm{2}} \right)^{{x}} =\left(\mathrm{3}^{{x}} −\mathrm{2}^{{x}} \right)^{\mathrm{2}} \\ $$$${x}=\mathrm{2} \\ $$
Commented by mathdanisur last updated on 07/Aug/21
$$\mathrm{Thanks}\:\mathrm{S}{er} \\ $$