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Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

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13 questions

SA-9709-P3-LE-0052 marksL1 FoundationCalculatorLog equations
Solve ln⁡(x+3)=2\ln(x+3)=2, giving the exact value of xx.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-LE4-0011 markL1 FoundationCalculatorLog equations
Solve log⁡3x=4\log_3x=4.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-LE4-G011 markL1 FoundationCalculatorLog equations
Solve ln⁡x=3\ln x=3, giving the exact value of xx.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-LE4-Q011 markL1 FoundationCalculatorValid solutions
ln⁡(x−3)\ln(x-3) is defined when
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-LE-0063 marksL2 StandardCalculatorCombining
Solve log⁡2(x+1)−log⁡2x=3\log_2(x+1)-\log_2x=3.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-LE4-0032 marksL2 StandardCalculatorCombining
Solve ln⁡(2x+1)=ln⁡x+ln⁡3\ln(2x+1)=\ln x+\ln3.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-LE4-0052 marksL2 StandardCalculatorCombining
Solve ln⁡x=2ln⁡3−ln⁡2\ln x=2\ln3-\ln2.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-LE4-0061 markL2 StandardCalculatorCombining
Solving 2ln⁡x−ln⁡(x+2)=02\ln x-\ln(x+2)=0 leads to
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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-LE-0074 marksL3 ExamCalculatorCombining
Solve 2ln⁡x=ln⁡(x+6)2\ln x=\ln(x+6).

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-LE-0164 marksL3 ExamCalculatorValid solutions
Solve lg⁡(2x+1)=1+lg⁡(x−3)\lg(2x+1)=1+\lg(x-3).

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-LE4-0024 marksL3 ExamCalculatorValid solutions
Solve lg⁡x+lg⁡(x−3)=1\lg x+\lg(x-3)=1.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-LE4-0043 marksL3 ExamCalculatorValid solutions
Solve log⁡2x+log⁡2(x+2)=3\log_2x+\log_2(x+2)=3.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-LE4-0074 marksL4 ChallengingCalculatorLog equations
Solve (lg⁡x)2−3lg⁡x+2=0(\lg x)^2-3\lg x+2=0.

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Salam Academy Original Practice · Proposed mark scheme