CATModern Math > Medium−log2(1/5)-\log _{2}(1 / 5)−log2(1/5)log2(1/5)\log _{2}(1 / 5)log2(1/5)−log2(1/3)-\log _{2}(1 / 3)−log2(1/3)log2(1/3)\log _{2}(1 / 3)log2(1/3)✅ 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 2017 Slot 1Suppose, log3x=log12y=a\log_3 x = \log_{12} y = alog3x=log12y=a, where x,yx, yx,y are positive numbers. If GGG is the geometric mean of x and y, and log6G\log_6 Glog6G is equal toCAT 2023 Slot 2For some positive real number xxx, if log3(x)+logx(25)logx(0.008)=163\log_{\sqrt{3}}(x) + \frac{\log_x (25)}{\log_x (0.008)} = \frac{16}{3}log3(x)+logx(0.008)logx(25)=316, then the value of log3(3x2)\log_3(3x^2)log3(3x2) is