Question

Solve the equation for t. Round off the answer to three places after the decimal point.

Answer 1

You have the following equation:

`e^(5t)=261`

In order to solve for t, use the following property:

`\ln e^a=a`

Then, apply ln both sides of the given equation, and solve for t:

`\begin{gathered} \ln e^(5t)=\ln (261) \\ 5t=5.564 \\ t=(5.564)/(5) \\ t=1.1129\approx1.113 \end{gathered}`

Hence, the value of t is t = 1.113