Can 2^x be negative? @drpeyam
Can 2^x be negative?  @drpeyam
Uploaded April 2022 | Updated September 2026, 1 week ago
Can 2^x ever be negative? We solve the equation 2^x is less than 0 by using complex exponentials and Euler's formula with i and pi and logarithms. The solutions in the complex plane are straight lines that are parallel and nicely laid out. So yes, this exponential equation can be negative, unlike what you may have learned in algebra and precalculus.

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Can 2^x be negative?

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