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The solution for X in the equation..3^3x-5 = 1/9x is ______
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The solution for X in the equation..3^3x-5 = 1/9x is ______

The solution for X in the equation..3^3x-5 = 1/9x is ______-example-1
User SDJMcHattie
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Given:


3^(3x-5)=(1)/(9^x)

Solve the equation,


\begin{gathered} 3^(3x-5)=(1)/(9^x) \\ 3^(3x-5)=(1)/((3^2)^x) \\ 3^(3x-5)=(1)/(3^(2x))^{} \\ 3^(3x-5)=3^{^(-2x)} \\ \text{Apply the exponent rule:} \\ 3x-5=-2x \\ 3x+2x=5 \\ 5x=5 \\ x=1 \end{gathered}

Answer: option c)

User Oana
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