CATModern Math > Hardlog102\log_{10} 2log1023log1023\log_{10} 23log1022log1022\log_{10} 22log1024log1024\log_{10} 24log102✅ Correct Option: 3Related questions:2025 Slot 3The sum of all possible real values of xxx for which logx−3(x2−9)=logx−3(x+1)+2\log_{x-3}(x^2-9)=\log_{x-3}(x+1)+2logx−3(x2−9)=logx−3(x+1)+2, isCAT 2019 Slot 2If xxx is a real number, then loge4x−x23\sqrt{\log_e \frac{4x-x^2}{3}}loge34x−x2 is a real number if and only ifCAT 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