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 .
Solution: The problem can be worked two ways, as is, and expanded.
can be written because .
can also be written Log100+Log10+Log1000=2+1+3=6
Since the answers are the same, then is equivalent to Log100+Log10+Log1000
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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Author: Nancy Marcus