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Change Of Base Formula: Logarithms & Proof

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

Which step in the proof of the change of base formula is incorrect?

1.) log_a(x) = y

2.) x = a^y

3.) log_b(x) = log_b(a^y)

4.) log_b(x) = y log_b(a)

5.) log_b(x) / log_b(a) = y

6.) log_a(x) = log_b(x) / log_b(a)

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1.

Solve: (round your answer to the nearest tenth.)

log2 (15)

2.

Solve: (round your answer to the nearest tenth)

log_12(9)

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About This Quiz & Worksheet

This quiz and corresponding worksheet will help you gauge your understanding of the change of base formula. Topics you'll need to know to pass the quiz include understanding how to identify the correct step showing the proof of the change of base formula as well as how to solve for the change of base formula.

Quiz & Worksheet Goals

Use these assessment tools to assess your knowledge of:

  • Identify the correct steps of the change of base formula
  • Solve for the change of base formula
  • Identify the correct way to write the change of base formula

Skills Practiced

This worksheet and quiz will let you practice the following skills:

  • Reading comprehension - ensure that you draw the most important information from the related change of base formula lesson
  • Interpreting information - verify that you can read information regarding the change of base formula and interpret it correctly
  • Knowledge application - use your knowledge to answer questions about the change of base formula
  • Problem solving- answer given problems using the change of base formula

Additional Learning

To learn more about how to convert the base of any logarithm to something more usable, review the corresponding lesson called Change of Base Formula: Logarithms & Proof. This lesson covers the following objectives:

  • Solve practice problems
  • Define logarithm
  • Understand the uses for the change of base formula
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