`4^(-3t) = 0.10` Solve the exponential equation algebraically. Approximate the result to three decimal places.

loves2learn | Student

Take the ln of both sides

`ln(4^(-3t))=ln0.10 `

Bring down the exponent

`-3tln4=ln0.10 `

`t=ln0.10/(-3ln4) `

`t=0.554 `