Practice Summary (8) - Introduction to Logarithms - IB 10 Mathematics – Group 5, Algebra
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Practice Questions

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Question 1 Easy

Convert 4^2 = 16 into logarithmic form.

💡 Hint: Think about what exponent gives you 16 when 4 is raised.

Question 2 Easy

Convert log_49 = 2 into exponential form.

💡 Hint: Remember that log_a(b) = c translates to a^c = b.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does log_10(100) equal?

1
2
3

💡 Hint: Think of what power 10 must be raised to in order to get 100.

Question 2

True or False: Natural logarithms use base 10.

True
False

💡 Hint: Remember the special number e, which is approximately 2.718.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

If log_3(x^2 - 3) = 2, solve for x.

💡 Hint: Transform the logarithmic equation into an exponential form and factor the equation.

Challenge 2 Hard

Prove that log_4(16) + log_4(1) = 2.

💡 Hint: Logarithm of 1 equals 0 across all bases.

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