Question Number 23096 by tawa tawa last updated on 26/Oct/17
$$\mathrm{Solve}:\:\:\mathrm{3}^{\mathrm{x}\:} =\:\frac{\mathrm{27}}{\mathrm{x}}\:+\:\mathrm{18} \\ $$
Commented by Physics lover last updated on 26/Oct/17
$${i}\:{just}\:{used}\:{hit}\:{and}\:{trial}\:{method} \\ $$$${and}\:{got}\:{x}\:=\:\mathrm{3} \\ $$$$\:{L}.{H}.{S} \\ $$$$\mathrm{3}^{\mathrm{3}} \:=\:\mathrm{27} \\ $$$${R}.{H}.{S} \\ $$$$\:\frac{\mathrm{27}}{\mathrm{3}}\:+\:\mathrm{18}\:=\:\mathrm{9}\:+\:\mathrm{18}\:=\:\mathrm{27} \\ $$$$\Rightarrow\:{L}.{H}.{S}\:=\:{R}.{H}.{S} \\ $$$$\Rightarrow\:{x}\:=\:\mathrm{3} \\ $$$$ \\ $$$$ \\ $$