Counting the solutions of an exponential equation with a line
Counting the solutions of an exponential equation with a line
Secondary 3
- Sketch the graph of \(y=2^x\).
- Find the equation of the straight line that must be drawn on your sketch to solve the equation \(2^{x+1}-2x=4\). Draw the line, and state the number of solutions of the equation, giving a reason.
Solution:
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Answer:(a) Increasing curve through \((0,1)\), asymptote \(y=0\) (b) \(y=x+2\); \(2\) solutions
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