RULES OF LOGARITHMS - Problem 4

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: tex2html_wrap_inline58

Problem 4: Calculate tex2html_wrap_inline60 .

Answer: 3.06310292081 rounded to 3.063

Solution 1: The problem can be worked two ways, as is, and expanded. tex2html_wrap_inline60 can be written tex2html_wrap_inline64 . The tex2html_wrap_inline64 can be written

displaymath68


Solution 2: tex2html_wrap_inline60 can also be written

displaymath72


The answers are the same. This means that tex2html_wrap_inline60 and tex2html_wrap_inline76 are equivalent.

Check:

displaymath78


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Author: Nancy Marcus

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