Question

Solve the equation below for x. 100 = 25e3 In4 O A. 4 B. 3 e O C. X=In4 - 3 c In100 3. In25 O D.

Answer 1

Dividing the given equation by 25 we get:

`\begin{gathered} (100)/(25)=(25e^(3x))/(25), \\ 4=e^(3x)\text{.} \end{gathered}`

Applying the natural logarithm to the above equation we get:

`\ln (4)=\ln (e^(3x))=3x\ln (e)=3x\text{.}`

Finally, solving for x we get:

`x=(\ln (4))/(3)\text{.}`

Answer: Option A.