RULES OF LOGARITHMS - Problem 4

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 4: Calculate .

Answer: 3.06310292081 rounded to 3.063

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

The answers are the same. This means that and are equivalent.

Check:

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Author: Nancy Marcus