**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 8*Ln*(*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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