Question

Just need the solution set, for some reason my calculator will not compute it

Answer 1

`x=(6\ln5-5\ln7)/(2\ln7-\ln5)`

The value of x is equal to -8.49

Explanation:

We have the following equation:

`7^(2x+5)=5^(x-6)`

We solve for x:

`\begin{gathered} (2x+5)\cdot\ln (7)=(x-6)\ln (5) \\ \ln 7\cdot2x+5\ln 7=\ln 5\cdot x-6\ln 5 \\ \ln 7\cdot2x-\ln 5\cdot x=-6\ln 5-5\ln 7 \\ x(2\ln 7-\ln 5)=-6\ln 5-5\ln 7 \\ x=(6\ln 5-5\ln 7)/(2\ln 7-\ln 5) \\ x\cong-8.49 \end{gathered}`

The value of x is equal to -8.49