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HomeCAT PYQsCAT 2024 Slot 2 Question PaperIf a, b and c are positive real numbers such that $$a &…
CAT 2024 · Slot 2Quantitative AbilityLogarithms, Surds and IndicesHARD+3 / −1TITA

If a, b and c are positive real numbers such that a > 10 \geq b \geq c and log⁡8(a+b)log⁡2c+log⁡27(a−b)log⁡3c=23\cfrac{\log_8 (a + b)}{\log_2c} + \cfrac{\log_{27} (a - b)}{\log_3c} = \cfrac{2}{3}log2​clog8​(a+b)​+log3​clog27​(a−b)​=32​, then the greatest possible integer value of a is

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