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

Logarithmic and exponential functions — practice question

(i)[3]

Solve for $x$ in $|9x - 2| = |3x + 2|$.

(ii)[2]

Hence, by using logarithms, solve the equation $|3^{y+2} - 2| = |3^{y+1} + 2|$, giving your 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 equation $(9x-2)^2=(3x+2)^2$ without the modulus signs, or set out the pair of linear equations

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