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
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Expand log(a4).
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2State1 mark
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Simplify 70.
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3Simplify2 marks
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Simplify (a3)(a5).
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4Rewrite2 marks
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Rewrite x-4 without a negative exponent.
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5State1 mark
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Which is correct for multiplying powers with the same base?
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6State1 mark
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Simplify x6 ÷ x2.
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7State1 mark
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What is a-3 equal to?
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8State1 mark
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Simplify (y2)4.
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9State1 mark
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Rewrite 25 = 32 in logarithmic form.
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10State1 mark
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What is ?
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11State1 mark
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In calculator notation, log 100 means:
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12State1 mark
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A logarithm gives you:
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13Evaluate2 marks
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Evaluate .
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14Rewrite2 marks
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Rewrite 53 = 125 in logarithmic form.
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15Evaluate2 marks
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Evaluate .
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16Evaluate2 marks
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Evaluate log 10000.
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17State1 mark
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Expand log(xy).
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18State1 mark
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Expand log(a/b).
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19State1 mark
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Expand log(t6).
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20State1 mark
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Condense log x + log y.
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