(i)[3]
Find the values of $x$ that satisfy the equation $|4 + 2x| = |3 - 5x|$.
(ii)[2]
Hence solve the equation $|4 + 2e^{3y}| = |3 - 5e^{3y}|$, and state the answer correct to $3$ significant figures.
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Find the values of $x$ that satisfy the equation $|4 + 2x| = |3 - 5x|$.
Hence solve the equation $|4 + 2e^{3y}| = |3 - 5e^{3y}|$, and state 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 imply the non-modular equation $(4+2x)^2 = (3-5x)^2$ or a pair of linear equations” …