Mathematics 9709 · AS & A Level · Logarithmic and exponential functions

Logarithmic and exponential functions — practice question

(a)[3]

Solve $\ln(2 + x) - \ln x = 2\ln 3$.

(b)[2]

Hence solve $\ln(2 + \cot y) - \ln(\cot y) = 2\ln 3$ for $0 < y < \tfrac{1}{2}\pi$. State your answer correct to 4 significant figures.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply a suitable logarithm law correctly at least once” …

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