Unit 1: Number and Algebra
Topic 1.5: Introduction to Exponents and Logarithms Questions
Practice 20 exam-style questions for IB Math AI SL Topic 1.5. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
1Expand2 marks
2026• Aimnova original
Expand log(a4).
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Simplify (a3)(a5).
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2026• Aimnova original
Rewrite x-4 without a negative exponent.
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Unlock Question5State1 mark
2026• Aimnova original
Which is correct for multiplying powers with the same base?
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2026• Aimnova original
Simplify x6 ÷ x2.
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2026• Aimnova original
What is a-3 equal to?
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Unlock Question9State1 mark
2026• Aimnova original
Rewrite 25 = 32 in logarithmic form.
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Unlock Question11State1 mark
2026• Aimnova original
In calculator notation, log 100 means:
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Unlock Question12State1 mark
2026• Aimnova original
A logarithm gives you:
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Unlock Question14Rewrite2 marks
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Rewrite 53 = 125 in logarithmic form.
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Evaluate log 10000.
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2026• Aimnova original
Expand log(a/b).
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Unlock Question20State1 mark
2026• Aimnova original
Condense log x + log y.
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