CATModern Math > Medium000101010−4-4−412\frac1221✅ Correct Option: 4Related 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 2019 Slot 2The real root of the equation 26x+23x+2−21=02^{6x} + 2^{3x+2} - 21 = 026x+23x+2−21=0 isCAT 2018 Slot 1If xxx is a positive quantity such that 2x=3log522^x = 3^{\log_5 2}2x=3log52, then xxx is equal to