IPMAT IndoreModern Math > Easy105718937✅ Correct Option: 3Related questions:IPMAT Indore 2019Suppose 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 isIPMAT Indore 2024If 4log2x−4x+9log3y−16y+68=04^{\log_2{x}} - 4x + 9^{\log_3{y}} - 16y + 68 = 04log2x−4x+9log3y−16y+68=0, then y−xy - xy−x equals:IPMAT Indore 2019If x,y,zx, y, zx,y,z are positive real numbers such that x12=y16=z24x^{12} = y^{16} = z^{24}x12=y16=z24 and the three quantities 3logyx,4logzy,nlogxz3 \log_y x, 4 \log_z y, n \log_x z3logyx,4logzy,nlogxz are in arithmetic progression, then the value of nnn is