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1 Unit 1: Pure Mathematics A

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Question 274

Let x>0x>0x>0, y>0y>0y>0, a>0 a>0\,a>0 and a≠1a\ne1a=1.

Prove that log⁡a(x3y)=3log⁡ax−12log⁡ay\log_a\left(\dfrac{x^3}{\sqrt{y}}\right)=3\log_a x-\dfrac12\log_a yloga​(y​x3​)=3loga​x−21​loga​y.

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1 Unit 1: Pure Mathematics A Questions

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