Logarithms: Express as a single logarithm: 4 ln (12) - 3 ln (4) - 1/2 ln (81) - 1/3 ln (216)

Erin from SVSU Micro Math helps you use properties of logarithms to rewrite an expression using properties of logarithms. In this problem, we “condense” an expression involving several logarithms. This means we rewrite it as a single logarithm. The base of the logarithm in this problem is the number e. This type of logarithm is called a “natural logarithm”.

Problem: Express as a single logarithm: 4 ln (12) - 3 ln (4) - 1/2 ln (81) - 1/3 ln (216)

Level: intermediate/college algebra

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