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

Logarithmic and exponential functions — practice question

Assume that $k$ is a positive constant.

(main)[5]

Solve $2\ln x = \ln(3k + x) + \ln(2k - x)$, giving $x$ in terms of $k$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Write $2\ln x$ as $\ln x^2$” …