`8(3^(6 - x)) = 40` Solve the exponential equation algebraically. Approximate the result to three decimal places.

Textbook Question

Chapter 3, 3.4 - Problem 28 - Precalculus (3rd Edition, Ron Larson).
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loves2learn | (Level 3) Salutatorian

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Divide by 8

`3^(6-x)=5 `

Take the ln of both sides and bring down the exponent

`(6-x)ln3=ln5 `

Simplify,

`x=-ln5/ln3+6 `

`x=4.535 `

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