1. You're solving for x, not e.

2. You ought to know that all logs use the same rule. What logsdoyou know how to use?

3. What you're really saying is that you used a calculator to get a decimal approximation to the exact answer when you were meant to use algebra to get an exact answer.

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Now apply the definition (for all values of A > 0 except A = 1). In your case A = e.