CATModern Math > Medium252525150150150100100100250250250✅ Correct Option: 2Related questions:CAT 2024 Slot 2If a, b and c are positive real numbers such that a>10≥b≥ca > 10 \ge b \ge ca>10≥b≥c and log8(a+b)log2c+log27(a−b)log3c=23\frac{\log_8(a+b)}{\log_2 c} + \frac{\log_{27}(a - b)}{\log_3 c} = \frac{2}{3}log2clog8(a+b)+log3clog27(a−b)=32, then the greatest possible integer value of a isCAT 2022 Slot 2The number of distinct integer values of n satisfying 4−log2n3−log4n<0\frac{4-\log_2 n}{3-\log_4 n} < 03−log4n4−log2n<0, isCAT 2020 Slot 3If loga30=A\log_a 30 = Aloga30=A, loga(5/3)=−B\log_a(5/3) = - Bloga(5/3)=−B and log2a=1/3\log_2 a = 1 /3log2a=1/3, then log3a\log_3 alog3a equals