Let . Compare and…

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

Let 0<a<10<a<1. Compare log⁡a2\log_{a} 2 and log⁡a5\log_{a} 5. (a) log⁡a2<log⁡a5\log_{a} 2<\log_{a} 5 (b) log⁡a2<0<log⁡a5\log_{a} 2<0<\log_{a} 5 (c) log⁡a2>log⁡a5\log_{a} 2>\log_{a} 5 (d) Their order depends on the exact value of aa

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