Let x>0x>0x>0, a>0 a>0\,a>0 and a≠1a\ne1a=1.
Use the quotient law for logarithms to prove that loga(1x)=−logax\log_a\left(\dfrac1x\right)=-\log_a xloga(x1)=−logax.
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.