**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 3:** Calculate .

**Answer:** 1.41673569389

**Solution 1:** The problem can be worked two ways, as is, and expanded.

can be written . The can be written

**Solution 2:** can also be written

**Check:** The answers are the same. This means that and are equivalent.

**Note:** The numbers -.0686215613241, 1.48535725521, and 1.41673569389 are the exponents. Let's check the answer in terms of exponents.

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