**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 2:** Calculate .

**Answer:** 6

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

can be written because .

can also be written *Log*100+*Log*10+*Log*1000=2+1+3=6

Since the answers are the same, then is equivalent to *Log*100+*Log*10+*Log*1000

**Note:** The numbers 2, 1, 3, and 6 are the exponents. Log means the base is
10. Let's check the answer in terms of exponents.

, , , and .

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