CATModern Math > Medium3<a<43<a<43<a<42<a<32<a<32<a<34<a<54<a<54<a<5a>5a>5a>5✅ Correct Option: 3Related 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 to2025 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 2024 Slot 1If xxx is a positive real number such that 4log10x+4log100x+8log1000x=134 \log _{10} x+4 \log _{100} x+8 \log _{1000} x=134log10x+4log100x+8log1000x=13, t hen greatest integer not exceeding x , is