`3^(2x) = 80` Solve the exponential equation algebraically. Approximate the result to three decimal places.

Textbook Question

Chapter 3, 3.4 - Problem 23 - Precalculus (3rd Edition, Ron Larson).
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loves2learn | (Level 3) Salutatorian

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Take the ln of both sides

`ln(3^(2x))=ln80 `

` ` Bring down the exponent

`2xln3=ln80 `

`x=ln80/(2ln3) `

`x=1.994 `

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