Solution
- The solution steps for the question are given below:
[tex]\begin{gathered} 3+5.6^x=23 \\ \\ \text{ Subtract 3 from both sides} \\ 5.6^x=23-3 \\ \\ 5.6^x=20 \\ \text{ Divide both sides by 5} \\ \\ 6^x=\frac{20}{5} \\ \\ 6^x=4 \\ \\ \text{ Take the natural log of both sides} \\ \ln6^x=\ln4 \\ x\ln6=\ln4 \\ \\ \text{ Divide both sides by ln\lparen6\rparen} \\ x=\frac{\ln4}{\ln6} \end{gathered}[/tex]Final Answer
The answer is
[tex]x=\frac{\ln4}{\ln6}[/tex]