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

Logarithmic and exponential functions — practice question

The positive numbers $p$ and $q$ satisfy $\ln\left(\frac{p}{q}\right) = a$ and $\ln(q^2p) = b$.
(main)[4]

Write $\ln(p^7q)$ in terms of $a$ and $b$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Derive $\ln p-\ln q=a$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI