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November 9 edit

Laws of Logs edit

What happens if a logarithm has a coefficient. What effect does this have on logarithms?

For example, how could log(a)-nlog(b) be written as a single logarithm?

Would n have to be written as a power of b?

--T.M.M. Dowd (talk) 19:52, 9 November 2011 (UTC)[reply]

Yes.

n\log(b)=\log(b^{n})\,\!

, so

\log(a)-n\log(b)=\log \left({\frac {a}{b^{n}}}\right)

. -- Meni Rosenfeld (talk) 20:11, 9 November 2011 (UTC)[reply]