Use the quotient law for logarithms to prove that
loga(1x)=−logax\log_a\left(\dfrac1x\right)=-\log_a xloga(x1)=−logax.
[3]
Markscheme
1.1 Proof Questions
8 exam-style questions on WJEC A Level Maths 1.1 Proof, covering 1.1.1 Proof, 1.1.2 Proof, 1.1.3 Proof, and 1.1 Proof. Each one has a worked solution and a mark scheme showing where the marks go.