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

Logarithmic and exponential functions — practice question

(main)[3]

With $2^y = 9^{3x}$ given, use logarithms to show that $y = kx$ and determine the value of $k$ correct to $3$ significant figures.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Take logarithms of both sides and use the power law at least once

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