`8(10^(3x)) = 12` Solve the exponential equation algebraically. Approximate the result to three decimal places.

Textbook Question

Chapter 3, 3.4 - Problem 27 - Precalculus (3rd Edition, Ron Larson).
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loves2learn | (Level 3) Salutatorian

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Divide both sides by 8

`10^(3x)=1.5 `

Take the ln of both sides

`ln(10^(3x))=ln1.5 `

Bring down the ` 3x` by log rules

`3xln(10)=ln1.5 `

`x=(ln1.5)/(3(ln(10))) `

`x=0.059 `

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