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Question

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. eiπ=1

Formula:

The logarithm of a negative number is,

loga-x=logax+iπ


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