Question

Solve 3 + 5 • 6x = 23.x = log4 (6)x = log6 (4)

Answer 1

- The solution steps for the question are given below:

`\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=(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=(\ln4)/(\ln6) \end{gathered}`

Final Answer

The answer is

`x=(\ln4)/(\ln6)`