Let x>0x>0x>0, y>0y>0y>0, a>0 a>0\,a>0 and a≠1a\ne1a=1.
Prove that loga(x3y)=3logax−12logay\log_a\left(\dfrac{x^3}{\sqrt{y}}\right)=3\log_a x-\dfrac12\log_a yloga(yx3)=3logax−21logay.
8 exam-style questions on WJEC A Level Maths 1.1.1 Proof. Each one has a worked solution and a mark scheme showing where the marks go.