Question Number 167007 by mathlove last updated on 04/Mar/22
Answered by Rasheed.Sindhi last updated on 04/Mar/22
$$\mathrm{3}^{\frac{{x}+\mathrm{6}}{\mathrm{3}}} +\mathrm{9}.\mathrm{2}.\mathrm{3}^{\frac{{x}}{\mathrm{3}}} =\mathrm{9} \\ $$$$\mathrm{3}^{\mathrm{2}} .\mathrm{3}^{\frac{{x}}{\mathrm{3}}} +\mathrm{9}.\mathrm{2}.\mathrm{3}^{\frac{{x}}{\mathrm{3}}} =\mathrm{9} \\ $$$$\mathrm{3}.\mathrm{3}^{{x}/\mathrm{3}} =\mathrm{1} \\ $$$$\mathrm{3}^{{x}/\mathrm{3}} =\mathrm{3}^{−\mathrm{1}} \\ $$$${x}/\mathrm{3}=−\mathrm{1} \\ $$$${x}=−\mathrm{3} \\ $$