`-14 + 3e^x = 11` Solve the exponential equation algebraically. Approximate the result to three decimal places.

Textbook Question

Chapter 3, 3.4 - Problem 32 - Precalculus (3rd Edition, Ron Larson).
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loves2learn | (Level 3) Salutatorian

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Add 14 to both sides

`3e^x=25 `

Divide by 3

`e^x=25/3 `

Take the ln of both sides and bring down the exponent

`xlne=ln(25/3) `

Simplify,

`x=2.120 `

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