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.
2Evaluate2 marks
2026• Aimnova original
Evaluate log 10000.
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Unlock Question3Expand2 marks
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Expand log(16/y).
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Simplify (a^3)(a^5).
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Rewrite 5^3 = 125 in logarithmic form.
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Evaluate log_7 49.
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Unlock Question7State1 mark
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Which is correct for multiplying powers with the same base?
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Simplify x^6 ÷ x^2.
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What is a^-3 equal to?
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Unlock Question10State1 mark
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Simplify (y^2)^4.
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Simplify (2x)^3.
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Expand log(a^4).
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Rewrite x^-4 without a negative exponent.
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What is log_10 1000?
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Rewrite 2^5 = 32 in logarithmic form.
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What is log_4 1?
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In calculator notation, log 100 means:
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Unlock Question18State1 mark
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A logarithm gives you:
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Unlock Question19Evaluate2 marks
2026• Aimnova original
Evaluate log_3 81.
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