Question

Solve e^3x + 4 = 50 leave your answer in terms of a single natural logarithm

Answer 1

Given:

`e^(3x)+4=50`

Find: Value of "x" in logarithm.

Sol:

`\begin{gathered} e^(3x)+4=50 \\ e^(3x)=50-4 \\ e^(3x)=46 \end{gathered}`

Take log both sides.

`\begin{gathered} \log_(_e)e^(3x)=\log_e46 \\ 3x=\log_e46 \\ x=(\log_e46)/(3) \end{gathered}`