Question

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

Answer 1

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)