3.10: Linear–product simultaneous equations and log equation

0606/13/O/N/22 — Question 3 · 7 marks

(a)
Solve the following simultaneous equations.
3y2x+2=03y - 2x + 2 = 0xy=12xy = \dfrac{1}{2}
[3]
(b)
Solve the equation log3x+3=10logx3\log_{3} x + 3 = 10\log_{x} 3, giving your answers as powers of 33.
[4]