How to Evaluate Logarithm? (+FREE Worksheet!)

Evaluate a logarithm by finding the exponent that produces the given value from the base.

To evaluate a logarithm, ask what power the base must be raised to to give the number. Log base 2 of 8 is 3, because 2 cubed is 8. That question is the whole definition of a logarithm.

Evaluating Logarithm, Example 2:

Evaluating Logarithm, Example 3:

Evaluating Logarithm, Example 4:

Exercises for Evaluating Logarithm

Evaluate Logarithm.

1. (color{blue}{3log_{2}{64}})
2. (color{blue}{frac{1}{2}log_{6}{36}})
3. (color{blue}{frac{1}{3}log_{3}{27}})
4. (color{blue}{log_{4}{64}})
5. (color{blue}{log_{1000}{1}})
6. (color{blue}{log_{620}{620}})

1. (color{blue}{18})
2. (color{blue}{1})
3. (color{blue}{1})
4. (color{blue}{3})
5. (color{blue}{0})
6. (color{blue}{1})

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