(a)[3]
Solve for $x$ in the equation $|4x - 1| = |x - 3|$.
(b)[3]
Hence solve the equation $|4^{y+1} - 1| = |4^y - 3|$ correct to 3 significant figures.
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Solve for $x$ in the equation $|4x - 1| = |x - 3|$.
Hence solve the equation $|4^{y+1} - 1| = |4^y - 3|$ correct to 3 significant figures.
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or imply $(4x-1)^2=(x-3)^2$ or the two linear equations $4x-1=\pm(x-3)$” …