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

Logarithmic and exponential functions — practice question

(i)[3]

Find the values of $x$ that satisfy the equation $|4 + 2x| = |3 - 5x|$.

(ii)[2]

Hence solve the equation $|4 + 2e^{3y}| = |3 - 5e^{3y}|$, and state the answer correct to $3$ significant figures.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: State or imply the non-modular equation $(4+2x)^2 = (3-5x)^2$ or a pair of linear equations

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