CATModern Math > Medium0<x<30 < x < 30<x<323<x<3023 < x < 3023<x<30x>30x > 30x>303<x<233 < x < 233<x<23✅ Correct Option: 4Related questions:CAT 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 2019 Slot 1Let xxx and yyy be positive real numbers such that log5(x+y)+log5(x−y)=3\log _{5}(x+y)+\log _{5}(x-y)=3log5(x+y)+log5(x−y)=3, and log2y−log2x=1−log23\log _{2} y-\log _{2} x=1-\log _{2} 3log2y−log2x=1−log23. Then xyx yxy equalsCAT 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= ?