CATModern Math > Hard−3≤x≤3- 3 \le x \le 3−3≤x≤31≤x≤21 \le x \le 21≤x≤2−1≤x≤3-1 \le x \le 3−1≤x≤31≤x≤31 \le x \le 31≤x≤3✅ Correct Option: 4Related questions:CAT 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) is2025 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 2018 Slot 21log2100−1log4100+1log5100−1log10100+1log20100−1log25100+1log50100= ?\dfrac{1}{\log _{2} 100}-\dfrac{1}{\log _{4} 100}+\dfrac{1}{\log _{5} 100}-\dfrac{1}{\log _{10} 100}+\dfrac{1}{\log _{20} 100}-\dfrac{1}{\log _{25} 100}+\dfrac{1}{\log _{50} 100}= \ ?log21001−log41001+log51001−log101001+log201001−log251001+log501001= ?