Why can't you take the logarithm of a negative number?

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Solution

Logarithem of a negative number:
The logarithm of a negative number in base $10$ is a complex number.
Hence, the base cannot be negative.
To solve such equations we have to make use of Euler’s identity. $(e^{i π} = 1)$
Formula:
The logarithm of a negative number is,
$\log_{a} (- x) = \log_{a} (x) + i π$

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