CAT 2025 Logarithms Question (Hard)

Question

The number of distinct integers n for which log _ left 4 right left n 2-7 n 11 right 0 , is

Accepted Answer

To solve the inequality log _ left 4 right left n 2 7n 11 right 0, we first need to understand what this means. The logarithm is positive when its argument is less than one, given that the base 4 is between zero and one. Therefore, we need to find the values of n for which n 2 7n 11 0. For 2 5 Choos

CAT 2025

Quantitative

Logarithms

Hard

$The number of distinct integers (n) for which (\log _{\left(\frac{1}{4}\right)}\left(n^2-7 n+11\right)>0), is$

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