Tim Gan Math
Sign up free

Counting the solutions of a logarithmic equation with a rising line

Counting the solutions of a logarithmic equation with a rising line

Secondary 3
  1. Sketch the graph of \(y=\log_2x\), stating the equation of its asymptote.
  2. By drawing a suitable straight line on your sketch, find the number of solutions of the equation \(\sqrt{2^{x-1}}=x\). Give a reason for your answer.

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs a course plan.

Create free accountSign inGet the A Math course · from S$39.98/moA Math tuition

Create a free account to practise similar questions.

Create free accountSign inGet the A Math course · from S$39.98/moA Math tuition
Answer:(a) Asymptote \(x=0\), through \((1,0)\) (b) \(y=\tfrac12(x-1)\); \(2\) solutions

Need help? Join our A-Maths tuition classes.

Learn more