Practice Practice Exercises (7) - Introduction to Logarithms - IB 10 Mathematics – Group 5, Algebra
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Practice Exercises

Practice - Practice Exercises

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Convert 4^2 = 16 to logarithmic form.

💡 Hint: Remember the basic conversion format.

Question 2 Easy

Convert log_9(81) = 2 to exponential form.

💡 Hint: Transform using the log base and exponent definition.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is log_10(100)?

1
2
3

💡 Hint: Think about what exponent you raise 10 to produce 100.

Question 2

True or False: log_b(b^x) = x for any positive b.

True
False

💡 Hint: Logarithms return the exponent from which the base derives.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

If log_4(x) + log_4(2) = 3, find x.

💡 Hint: Use product rule and convert to exponential form after.

Challenge 2 Hard

Solve for x if log_2(x + 1) = 6.

💡 Hint: Convert to exponential form to solve for x.

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