Logarithm problem, help please

Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.
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Joined: Tue Feb 05, 2013 4:02 am

Logarithm problem, help please

Postby Rico. » Tue Feb 05, 2013 4:10 am

How do you simplify logarithm problems with different bases?
Problem is: 2log4(9) - log2(3)

Thank you in advance.

Posts: 72
Joined: Sat Dec 29, 2012 2:42 am

Re: Logarithm problem, help please

Postby jg.allinsymbols » Tue Feb 05, 2013 5:32 am

Use the Change-of-Base formula. Put the logarithm into the base that you want. The derivation is found in Intermediate Algebra textbooks.

Given a logarithm function in base a, if you want the logarithm function in base b, here is how:

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