All mind maps topics

Solving equations of the form a^x = bEdexcel International A Level Maths: Mind map

What this mind map covers

  • Method
  • Change of base
  • Linear index
  • Both sides
  • Compound growth
  • Exam tips

Exam questions on Solving equations of the form a^x = b

  1. The equation 5x=405^x=40 has solution x=kx=k.
    Solve 5x−2=405^{x-2}=40.2 marks
  2. Consider the equation 32x=2003^{2x}=200, where xx is a real number.
    Hence, or otherwise, solve 32x+1=6003^{2x+1}=600.2 marks
  3. Give non-exact answers to 3 significant figures. A calculator may be used.
    Solve 7x=2x+37^x=2^{x+3}.3 marks
See the full worksheet

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).