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

Logarithmic and exponential functions — practice question

(main)[4]

Solve the equation $2|3^x - 1| = 3^x$, and give the solutions 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: State or show the non-modular equation $2^2(3^x-1)^2=(3^x)^2$, or the equivalent pair of equations $2(3^x-1)=\pm 3^x$

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