`8^(-2 - x) = 431` Solve the exponential equation algebraically. Approximate the result to three decimal places.

Textbook Question

Chapter 3, 3.4 - Problem 26 - Precalculus (3rd Edition, Ron Larson).
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loves2learn | (Level 3) Salutatorian

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Take the ln of both sides

`ln(8^(-2-x))=ln431 `

Bring down the exponent

`(-2-x)ln8=ln431 `

`-2-x=ln431/ln8 `

`-x=ln431/ln8+2 `

`x=-4.917 `

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