CATModern Math > Hard3<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:2025 Slot 2If log64x2+log8y+3log512(yz)=4\log_{64} x^2 + \log_8 \sqrt{y} + 3\log_{512}\left(\sqrt{yz}\right) = 4log64x2+log8y+3log512(yz)=4, where x,yx, yx,y and zzz are positive real numbers, then the minimum possible value of (x+y+z)(x+y+z)(x+y+z) isCAT 2022 Slot 2The number of distinct integer values of n satisfying 4−log2n3−log4n<0\frac{4-\log_2 n}{3-\log_4 n} < 03−log4n4−log2n<0, isCAT 2019 Slot 2The real root of the equation 26x+23x+2−21=02^{6x} + 2^{3x+2} - 21 = 026x+23x+2−21=0 is