Practice Change Of Base Formula (3.4) - Introduction to Logarithms - IB 10 Mathematics – Group 5, Algebra
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Change of Base Formula

Practice - Change of Base Formula

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Convert log_7(49) using the Change of Base Formula.

💡 Hint: What is the value of 49 in terms of 7?

Question 2 Easy

Evaluate log_4(16) using the Change of Base Formula.

💡 Hint: Recall that 16 can be expressed in terms of 4.

1 more question available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the Change of Base Formula?

💡 Hint: Think of how to express it in terms of another base.

Question 2

True or False: You can use the Change of Base Formula to solve log_2(16).

True
False

💡 Hint: Which base would you convert it to?

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Using the Change of Base Formula, calculate log_2(1000). Show all steps.

💡 Hint: Break 1000 down into simpler logarithms if necessary.

Challenge 2 Hard

If log_8(32) is expressed using the Change of Base Formula, what is the equivalent expression?

💡 Hint: Determining the equivalent bases will help simplify this.

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