**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 1:**

**Problem 1:** Calculate .

**Answer:** 5.63478960317

**Solution:** The problem can be worked two ways, as is, and expanded.

can be written *Ln*280=5.63478960317 .

can also be written

Since the answers are the same, then

**Note:** The numbers 1.94591014906, 3.68887945411, and 5.63478960317 are the
exponents. Ln means the base is e. Let's check the answer in terms of
exponents:

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