Logarithm doubt ... I know that log of a negative number is not possible but, log(−5)^2 is possible. Therefore log(−5)^2=2log(−5) but log(−5) is not possible but log of −5 square is possible ....can anyone explain this? Thanks

ajanlr

ajanlr

Answered question

2022-10-17

Logarithm doubt ...
I know that log of a negative number is not possible but, log ( 5 ) 2 is possible. Therefore log ( 5 ) 2 = 2 log ( 5 ) but log ( 5 ) is not possible but l o g of 5 square is possible ....can anyone explain this? Thanks

Answer & Explanation

Taxinov

Taxinov

Beginner2022-10-18Added 18 answers

There is no reason to expect that
log a b = b log a
holds for a < 0
(Once you get to complex logarithms, you can make sense of such equalities, but only if you allow multi-valued interpretations of the logarithm.)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?