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

Logarithmic and exponential functions — practice question

(main)[4]

Apply logarithms to solve the equation $3^x = 2^{x+2}$, and give the answer correct to 3 significant figures.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Makes an attempt to use the power law for logarithms to reach $x\log 3 = \log 2 + 2\log 2$ or an equivalent form

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