Synthesize a four-bar linkage to generate \(y=\log _{10} x\) in the interval \(1 \leq x \leq 10\). The input crank length is to be \(5 \mathrm{~cm}\). The input crank is to rotate from \(45^{\circ}\) to \(105^{\circ}\) while the output crank moves from \(135^{\circ}\) to \(225^{\circ}\). Use three accuracy points with Chebyshev's spacing.