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

Logarithmic and exponential functions — practice question

(a)[2]

On one set of axes, sketch the graphs of $y = |3x - 5|$ and $y = 2x + 7$.

(b)[3]

Solve the equation $|3x - 5| = 2x + 7$.

(c)[2]

Hence solve the equation $|3^{y+1} - 5| = 2 \times 3^y + 7$, and give your answer correct to $3$ significant figures.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Draw a V-shaped graph whose vertex lies on the positive $x$-axis

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