E^(2-3 x)=125.................

Question

`e^(2-3 x)=125`.................

Answer 1

Given:

`e^(2-3x)=125`

Required:

To find the value of x.

Step-by-step explanation:

Consider

`\begin{gathered} e^(2-3x)=125 \\ \\ -3x+2=\ln(125) \\ \\ -3x=\ln(125)-2 \\ \\ x=(\ln(125)-2)/(-3) \end{gathered}`

Final Answer:

`x=(\ln(125)-2)/(-3)`