Menu Close

Question-167007




Question Number 167007 by mathlove last updated on 04/Mar/22
Answered by Rasheed.Sindhi last updated on 04/Mar/22
3^((x+6)/3) +9.2.3^(x/3) =9  3^2 .3^(x/3) +9.2.3^(x/3) =9  3.3^(x/3) =1  3^(x/3) =3^(−1)   x/3=−1  x=−3
$$\mathrm{3}^{\frac{{x}+\mathrm{6}}{\mathrm{3}}} +\mathrm{9}.\mathrm{2}.\mathrm{3}^{\frac{{x}}{\mathrm{3}}} =\mathrm{9} \\ $$$$\mathrm{3}^{\mathrm{2}} .\mathrm{3}^{\frac{{x}}{\mathrm{3}}} +\mathrm{9}.\mathrm{2}.\mathrm{3}^{\frac{{x}}{\mathrm{3}}} =\mathrm{9} \\ $$$$\mathrm{3}.\mathrm{3}^{{x}/\mathrm{3}} =\mathrm{1} \\ $$$$\mathrm{3}^{{x}/\mathrm{3}} =\mathrm{3}^{−\mathrm{1}} \\ $$$${x}/\mathrm{3}=−\mathrm{1} \\ $$$${x}=−\mathrm{3} \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *