Let m m\,m and n n\,n be real numbers, and let a>0 a>0\,a>0 with a≠1a\ne1a=1.
Given that x=amx=a^mx=am and y=any=a^ny=an, prove that
loga(x2y3x)=32m+3n\log_a\left(\dfrac{x^2y^3}{\sqrt{x}}\right)=\dfrac32m+3nloga(xx2y3)=23m+3n.
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Markscheme
1.1.1 Proof Questions
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.