RULES OF LOGARITHMS - Example
RULES OF LOGARITHMS - Example 
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: 
Example 4: Suppose that a base is 4 and exponents are a, b, and c. We could
simplify the exponential problem 
by combing
the exponents and writing the problem as 
.
The same is true of logarithms. Suppose you wanted to simplify the
expression 
. You could so by writing as 
, providing x > 0, y>0, and Z>0..
Note: The two expressions and
are equivalent expressions. Recall that equivalent expressions do not look
the same but will result in the same answer is you substitute a value for x,
for y, and for z in both expressions. Let's try it. Suppose x = 10, y = 15,
and z = 20. Then
and
If you would like to review another example, click on Example.
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Author: Nancy Marcus