A-level · Exponentials & logarithms

The laws of logarithmsExam-style questions

The product, quotient and power laws — turning sums and differences of logs into a single log (and back) — plus log_a a = 1, log_a 1 = 0 and the reciprocal rule.

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12 questions · A-level level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 2Level 3Level 4
  1. 1
    Solve the equation

    log⁡2(x+5)+log⁡2(x−1)=4\log_2(x+5) + \log_2(x-1) = 4. (4 marks)
    Level 2 · 4 marksTry it