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_inline47 .

Example 4: Find tex2html_wrap_inline49 .

Solution: You cannot take the log of a negative number. In terms of exponents, there is no exponent t such that tex2html_wrap_inline51 will equal a negative number.

Example 5: Find tex2html_wrap_inline53 .

Solution: Since tex2html_wrap_inline55 is a positive number, you can find the log. Then

displaymath57


Note: You cannot use Logarithmic Rule 3 to simplify the expression tex2html_wrap_inline53 to tex2html_wrap_inline61 because you cannot take the log of a negative number.

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Author: Nancy Marcus

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