`(1 + 0.10/12)^(12t) = 2` Solve the exponential equation algebraically. Approximate the result to three decimal places.

Textbook Question

Chapter 3, 3.4 - Problem 44 - Precalculus (3rd Edition, Ron Larson).
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loves2learn | (Level 3) Salutatorian

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Take the ln of both sides

`ln(1.0083^(12t))=ln2 `

Bring down the exponent

`12tln1.0083=ln2 `

Simplify

`t=6.960 `

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