Additional Mathematics 0606 / Simultaneous equations and quadratics / 3.163.16: Logarithmic simultaneous equations and index equation0606/23/O/N/23 — Question 3 · 9 marksMark as done · Save for later · Show all solutions(a)Solve the following simultaneous equations.3log2x+2log2y=243\log_{2} x + 2\log_{2} y = 243log2x+2log2y=245log2x−3log2y=25\log_{2} x - 3\log_{2} y = 25log2x−3log2y=2[5]▸ Answer(b)Solve the equation 2t+421−2t=512\dfrac{2^{t + 4}}{2^{1 - 2t}} = 51221−2t2t+4=512.[4]▸ Answer▸ Official mark scheme← 3.15: Quadratic curve completely above the xxx-axis3.9: Completing the square, sketch and three solutions →
