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

Textbook Question

Chapter 3, 3.4 - Problem 17 - Precalculus (3rd Edition, Ron Larson).
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loves2learn | (Level 3) Salutatorian

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Since the bases are the same, set the exponents equal to each other

`x=x^2-2 `

`0= x^2-x-2 `

`0=(x-2)(x+1) `

`x=2 `  and `x=-1 `

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