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1 Unit 1: Pure Mathematics A

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Question 301

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 log⁡a(xy)=log⁡ax+log⁡ay\log_a(xy)=\log_a x+\log_a yloga​(xy)=loga​x+loga​y.

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1 Unit 1: Pure Mathematics A Questions

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