Practice Example 1 (6.1) - Introduction to Logarithms - IB 10 Mathematics

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6 sample questions

Question 1.
Solve log₂ x = 3.
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The base 2 is raised to the value of the logarithm.
Question 2.
Write log₃ 81 = 4 in exponential form.
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Base, raised to the log value, equals the number inside the logarithm.
3Question 3.
Which statement is the exponential form of log₂ x = 5?
- x = 5²
- 2⁵ = x
- 5ˣ = 2
- x⁵ = 2
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The base of the logarithm becomes the base of the power.
4Question 4.
What is the solution of log₂ x = 5?
- 10
- 25
- 32
- 100000
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Multiply five 2s together.
Question 5.
Solve logₓ 125 = 3/2 and check your answer.
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A power of 3/2 is undone by a power of 2/3.
Question 6.
Solve log₂(log₃ x) = 1.
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Treat log₃ x as a single unknown first, then convert a second time.

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