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Question Number 167007 by mathlove last updated on 04/Mar/22

Answered by Rasheed.Sindhi last updated on 04/Mar/22

$$3^{\frac{x+6}{3}}+9.2.3^{\frac{x}{3}}=9$$$$3^2.3^{\frac{x}{3}}+9.2.3^{\frac{x}{3}}=9$$$$3.3^{x/3}=1$$$$3^{x/3}=3^{-1}$$$$x/3=-1$$$$x=-3$$

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