Change of Base Formula Worksheet
This worksheet focuses on applying the change of base formula for logarithms, essential for converting logarithms between different bases and evaluating them using calculators.
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Standards
Change of Base Formula Practice
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Read each question carefully and use the change of base formula to solve. Show all your work for full credit. Round answers to two decimal places where appropriate.
1. The change of base formula states that log_b(x) = / log_a(b).
2. To evaluate log_3(7) using a calculator that only has natural logarithm (ln) or common logarithm (log) functions, you can write it as .
3. Which of the following is equivalent to log_5(12) using the change of base formula?
log(12) / log(5)
log(5) / log(12)
log_12(5)
log(12) * log(5)
4. Use the change of base formula to evaluate log_2(10). Show your work.
5. Evaluate log_7(25) using the natural logarithm (ln) function. Round your answer to two decimal places.
6. The change of base formula can only be used with base 10 or base e.
True
False