Question

Solve the exponential equation. Express the solution set in terms of naturallogarithms.x484 = 7• masIn 7{ln7 - In4 - Ins}O Sin7-

Answer 1

Given the expression:

`4^(x+8)=7`

Expressing this in logarithm form:

`\log _47=x+8`

Next, changing base to the natural logarithm:

`\begin{gathered} (\ln 7)/(\ln 4)=x+8 \\ \implies x=(\ln7)/(\ln4)-8 \end{gathered}`