Solve $6^x = \frac{10}{3} - 6^{-x}$.[4] Sketch the graph of $y = \ln x$, showing any points of i

Question

Solve $6^x = \frac{10}{3} - 6^{-x}$.[4] Sketch the graph of $y = \ln x$, showing any points of intersection with the axes.[2] To solve $e^{1-2x} = x^3$, a straight line can be drawn on the same axes as the graph in part (b): Determine the equation of the straight line to be drawn.[2] Hence, state the number of solutions for $e^{1-2x} = x^3$.[1]

Accepted Answer

(a) x = -0.613 or x = 0.613, (c)(ii) one solution

IP3 Class Test (May 2025) Q10 (2023 Jurong Sec AM Prelim P2 Q6)

IP3 Class Test (May 2025) Q10 (2023 Jurong Sec AM Prelim P2 Q6)

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