**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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