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

Logarithmic and exponential functions — practice question

(i)[3]

Find the values of $x$ from the equation $2|x - 1| = 3|x|$.

(ii)[2]

Hence solve the equation $2|5^x - 1| = 3|5^x|$, and express 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 non-modular equation $(2(x-1))^2 = (3x)^2$, or two linear equations $2(x-1)=\pm 3x$

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