`4(3^x) = 20` Solve the exponential equation algebraically. Approximate the result to three decimal places.

Textbook Question

Chapter 3, 3.4 - Problem 19 - Precalculus (3rd Edition, Ron Larson).
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loves2learn | (Level 3) Salutatorian

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Divide both sides by 4

`3^x=5 `

Take the ln of both sides

`ln3^x=ln5 `

Bring down the exponent

`xln3=ln5 `

`x=ln5/ln3 `

`x=1.465 `

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