CAT 2020 Logarithms Question (Medium)

Question

The value of , for cannot be equal to

Accepted Answer

Step 1 We are given the expression Using the identity Apply to each term So the total expression becomes Step 2 We know that So the expression simplifies to Let then So the expression becomes Step 3 Now analyze the expression We are told So , which means Hence, So the expression cannot be greater th

CAT 2020

Quantitative

Logarithms

Medium

The value of $\log_{a} \frac{a}{b} + \log_{b} \frac{b}{a}$ , for $1 < a \leq b$ cannot be equal to

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