CATModern Math > Mediumlog102\log_{10} 2log1023log1023\log_{10} 23log1022log1022\log_{10} 22log1024log1024\log_{10} 24log102✅ Correct Option: 3Related questions:CAT 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 equalsCAT 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 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 is