Unit 1: Number and Algebra

Topic 1.5: Introduction to Logarithms Questions

Practice 15 exam-style questions for IB Math AA SL Topic 1.5. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.

1Find2 marks
2025
A model is given by N(t) = 300 × 0.92t. It can be written in the form N(t) = 300ekt.

Find the exact value of k.
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2Choose1 mark
Which of these is written in logarithmic form?
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3Choose1 mark
Write in exponential form.
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4Choose1 mark
Write down the value of .
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5Choose1 mark
Find the value of without a calculator.
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6Find1 mark
2026
Find the value of .
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7Find2 marks
2025
A model is given by V(t) = 750 × 1.3t. It can be written in the form V(t) = 750ekt.

Find the exact value of k.
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8Find2 marks
2025
A model is given by A(t) = 20 × 2t/3. It can be written in the form A(t) = 20ekt.

Find the exact value of k.
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9Write down3 marks
2026
Write each of the following in logarithmic form:
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10Write down3 marks
2026
A logarithm and an exponent are two ways of writing the same relationship.
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11Calculate3 marks
2026
Calculate the value of each logarithm, without a calculator:
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12Calculate3 marks
2026
Evaluate
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13Choose1 mark
A student needs the value of . Which working leads to the right answer?
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14Find3 marks
Given that and , find .
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15Evaluate3 marks
Without using a calculator, evaluate .
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