RULES OF LOGARITHMS - Problem 5

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_inline61

Problem 5: Simplify tex2html_wrap_inline63 .

Solution: tex2html_wrap_inline65 if you want the answer in terms of the base 3.

displaymath67

if you want the answer in terms of the base 10.

displaymath69

if you want the answer in terms of the base e.

displaymath71

if you want the answer in terms of the base 5.

Note: None of the above is valid unless a > 0, b> 0, c > 0, and d > 0.

Check: Suppose that a = 2, b = 3, c = 4, and d = 5. Then

displaymath81

and

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Author: Nancy Marcus

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