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.

1Solve2 marks
2026
Solve .
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2State1 mark
2026
Simplify (y2)4.
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3State1 mark
2026
Condense log x + log y.
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4Solve2 marks
2026
Solve .
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5Simplify2 marks
2026
Simplify (a3)(a5).
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6State1 mark
2026
Simplify x6 ÷ x2.
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7State1 mark
2026
What is a-3 equal to?
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8State1 mark
2026
Expand log(t6).
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9State1 mark
2026
Solve .
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10Solve2 marks
2026
Solve 3x+1 = 81.
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11State1 mark
2026
In calculator notation, log 100 means:
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12State1 mark
2026
Which is correct for multiplying powers with the same base?
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13Rewrite2 marks
2026
Rewrite x-4 without a negative exponent.
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14Evaluate2 marks
2026
Evaluate .
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15State1 mark
2026
A logarithm gives you:
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16State1 mark
2026
Expand log(a/b).
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17State1 mark
2026
Rewrite 25 = 32 in logarithmic form.
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18State1 mark
2026
Best method for solving 5x = 11?
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19State1 mark
2026
If 10x = 1000, what is x?
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20State1 mark
2026
What is ?
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