(i)[3]
Solve the equation $|3x + 4| = |3x - 11|$.
(ii)[2]
Hence, use logarithms to solve the equation $|3 \times 2^y + 4| = |3 \times 2^y - 11|$, giving the answer correct to $3$ significant figures.
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Solve the equation $|3x + 4| = |3x - 11|$.
Hence, use logarithms to solve the equation $|3 \times 2^y + 4| = |3 \times 2^y - 11|$, giving the answer correct to $3$ significant figures.
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or show that $(3x+4)^2=(3x-11)^2$ or $3x+4=-(3x-11)$” …