Question

Solve for the value of x. Round your answer to the nearest ten-thousandths place.

Answer 1

`\begin{gathered} 9^((-3x+2))=48 \\ \ln (9^((-3x+2)))=\ln (48) \\ (-3x+2)\ln (9)=\ln (48) \\ -3x+2=(\ln (48))/(\ln (9)) \\ -3x+2=\log _9(48) \\ -3x=\log _9(48)-2 \\ 3x=2-\log _9(48) \\ x=(2-\log _9(48))/(3) \\ x\approx0.793801 \end{gathered}`