- #1

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## Homework Statement

Solve the following equation:

[tex]e^{2x}=3x^2[/tex]

## Homework Equations

## The Attempt at a Solution

I can find an approximate solution with a graphing calculator easily, but I am interested how you would find the exact solution.

I can take the natural log of both sides and wind up with.

[tex]2x=\ln{3x^2}[/tex]

I'm not sure how I could proceed from here to get it into terms of x.

Would perhaps another method be better?