IPMAT Indore 2025Modern Math > Medium(2,5)(2,5)(2,5)(−5,−2)(-5,-2)(−5,−2)(5,∞)(5,\infty)(5,∞)Null set✅ Correct Option: 4Related questions:The value of (0.04log5(14+18+116+...))(0.04^{log_{\sqrt{5}}(\frac{1}{4} + \frac{1}{8} + \frac{1}{16} + ...)})(0.04log5(41+81+161+...)) is __________.Suppose that a, b, and c are real numbers greater than 1. Then the value of 11+loga2bca+11+logb2cab+11+logc2abc\dfrac{1}{1+\log_{a^2 b} \frac{c}{a}} + \dfrac{1}{1+\log_{b^2 c} \frac{a}{b}} + \dfrac{1}{1+\log_{c^2 a} \frac{b}{c}}1+loga2bac1+1+logb2cba1+1+logc2acb1 isThe inequality log23x−12−x<1\log_{2} \frac{3x - 1}{2 - x} < 1log22−x3x−1<1 holds true for