Question

properties of logarithm

Answer 1

Change of Base

While most scientific calculators have buttons for only the common logarithm and the natural logarithm, other logarithms may be evaluated with the following change-of-base formula.

Change-of-base Formula



Example 1.

Evaluate log5 3. The change-of-base formula allows us to evaluate this expression using any other logarithm, so we will solve this problem in two ways, using first the natural logarithm, then the common logarithm.

Natural Logarithm:



Common Logarithm: