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 .
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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Author: Nancy Marcus