RULES OF LOGARITHMS - Problem 2

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 2:

Problem 2: Calculate .

Before we begin: Since many individuals still have problems with how to simplify the expression , let's walk through the process. The expression can be written which in turn can be written .

Also the expression can be written

Solution: can be written which can be expanded to

This problem can be solved in several ways:

1

Find

rounded to 0.301.

Check: .

2

Another way to calculate this problem is to find

rounded to 0.301.

3

Still another way to calculate this problem is to convert

to

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