Question

Solve and find the value of x5^(x-7) = 8

Answer 1

Solve for x:

`\begin{gathered} 5^((x-7))=8 \\ \end{gathered}`

To find x, we are going to solve the exponent, taking log of both sides:

`\begin{gathered} \log (5^(x-7))=\log (8) \\ x-7\cdot\log (5)=\log (8) \\ x-7=(\log (8))/(\log (5)) \\ x-7=1.292 \\ x=1.292+7 \\ x=8.292 \end{gathered}`