Logarithm of Negative Numbers

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Section 3.2

20211013_083700.jpg


Let f(x) = log x

Let x = -2

f(-2) = log (-2) = error

Just like Ron Larson stated above, we cannot take the log of negative 2 "...because there is no real number power to which 10 can be raised to obtain -2.

Question:

Is there a complex number power to which 10 can be raised to obtain -2?
 
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