RULES OF LOGARITHMS - Problem 6

Let a be a positive number such that a does not equal 1, let n be a real number, and let u and v be positive real numbers.

Logarithmic Rule 3: .

Problem 6: Simplify . What assumptions must you make before you can begin work on this problem?

Solution: The only requirement about the values of a, b, and c in the original expression is that .
is equivalent to 8Ln(a+b+c) only when a+b+c>0 .
That is far as you can take it. There are no logarithm rules dealing with logs of sums.

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