(a)[3]
Solve for $x$ in the equation $\ln(2 + x) - \ln x = 2\ln 3$.
(b)[2]
Hence solve $\ln(2 + \cot y) - \ln(\cot y) = 2\ln 3$ for $0 < y < \frac{1}{2}\pi$. Give your answer correct to $4$ significant figures.
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions