(i)[3]
Solve for $x$ in the equation $\lvert 9x - 2 \rvert = \lvert 3x + 2 \rvert$.
(ii)[2]
Hence, use logarithms to solve $\lvert 3^{y+2} - 2 \rvert = \lvert 3^{y+1} + 2 \rvert$, and give your answer to $3$ significant figures.
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Logarithmic and exponential functions — practice question
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or imply the non-modulus equation $(9x-2)^2 = (3x+2)^2$ or a pair of linear equations” …
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