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

Textbook Question

Chapter 3, 3.4 - Problem 24 - Precalculus (3rd Edition, Ron Larson).
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loves2learn | (Level 3) Salutatorian

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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 `

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