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 3: tex2html_wrap_inline74 .

Example 2: Find tex2html_wrap_inline76

Answer: 2.79588

Solution: You can work this problem several ways:

1.
tex2html_wrap_inline78
2.
tex2html_wrap_inline80
3.
tex2html_wrap_inline82

Example 3: Find tex2html_wrap_inline84 .

Solution 1:The expression tex2html_wrap_inline84 can be written tex2html_wrap_inline88 which in turn can be written tex2html_wrap_inline90 . This last expression can be rewritten using Rule 1 as

displaymath92

This represents 12 identical terms and we can write the sum of the 12 terms as tex2html_wrap_inline94 .

Check: The original expression tex2html_wrap_inline84 can be written

displaymath98

The last expression tex2html_wrap_inline94 can be written

displaymath102


If you would like to review another example, click on Example

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Author: Nancy Marcus

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