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More Great Information on Simply Basic:
Logarithms homework question?
The problem is Log3 (-3). Now, I realise this may be a silly question, but how do you solve the brackets, what do they signify and why do they need to be there? The answer to the problem is undefined, but I can't quite figure out how to get to that point. I also realise that it's simply basic maths that is letting me down, so thank you for your patience. :]
It's only undefined for real numbers. log3(-3) has a complex value.
log3(-3)
= log3(-1) + log3(3)
= (ln(-1) + ln(3))/ln(3)
= (iπ + ln(3)) / ln(3)
= 1 + iπ/ln(3) ................. i = √(-1) and π ≈ 3.14159
Answer: see above