Practice Example 3 (6.3) - Introduction to Logarithms - IB 10 Mathematics – Group 5, Algebra
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Example 3

Practice - Example 3

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Convert log4(16) = x to exponential form.

💡 Hint: Think of the base raised to the exponent.

Question 2 Easy

Convert log10(100) = y to exponential form.

💡 Hint: What is the base raised to what power equals 100?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the exponential form of log2(32) = x?

2^x = 32
32^x = 2
2^5 = 32

💡 Hint: Think about what exponent of 2 gives you 32.

Question 2

True or False: log(a * b) = log(a) + log(b) is an example of the logarithmic quotient rule.

True
False

💡 Hint: Recall what each rule states.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Solve the equation log2(x - 3) + log2(2) = 4.

💡 Hint: Combine the logs before converting.

Challenge 2 Hard

Find x if log4(x) + log4(x - 1) = 2.

💡 Hint: Factor the quadratic equation.

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