Change of Base Formula Worksheet
This worksheet focuses on applying the change of base formula for logarithms to solve various problems.
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Change of Base Formula Worksheet
Name:
Date:
Score:
Read each question carefully and use the change of base formula to solve for the unknown. Round your answers to two decimal places where necessary.
1. The change of base formula states that log_b(a) = / .
2. To evaluate log_3(7) using common logarithms, you would calculate .
3. Which of the following is equivalent to log_5(10)?
log(10) - log(5)
log(10) / log(5)
log(5) / log(10)
log(5) * log(10)
4. Evaluate log_2(15) to two decimal places.
0.26
3.91
1.18
2.50
5. Explain how the change of base formula allows you to evaluate logarithms with any base using a calculator that only has log (base 10) and ln (natural log) functions.
6. Using the change of base formula, express log_7(x) in terms of the natural logarithm (ln).
7. The change of base formula can only be used with base 10 or base e.
True
False
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