Let x>0x>0x>0, y>0y>0y>0, a>0 a>0\,a>0 and a≠1a\ne1a=1.
Starting from the definition of a logarithm, prove that
loga(xy)=logax−logay\log_a\left(\dfrac{x}{y}\right)=\log_a x-\log_a yloga(yx)=logax−logay.
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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.