RULES OF LOGARITHMS - Problem 4

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 2:

Problem 4: Calculate .

Answer: There is no solution.

Solution: There are no rules about simplifying logarithms of sums or differences; therefore to work this problem, you must simplify 5 + 80 - 400 Since can be written Log(-315) , we know that there is no solution.

You cannot take the logarithm of a negative numbers. This is like saying that if you raise 50 to any power, there is no way you are going to get a negative answer.

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