HHH 1. If x = log2a a, y = logza 2a...
Question
Fullscreen

HHH 1. If x = log2a a, y = logza 2a, z = log4a 3a , show that xyz +1 = 2yz. et to a+b 1 (loga + log b).

JEE/Engineering Exams
Maths
Solution
34
Rating
5.0 (1 ratings)
Fullscreen
( begin{aligned} log _{2 a}^{a}=x &, log _{3 a}^{2 a}=y cdot log _{4 a}^{3 a}=z x y z=& log _{2 a}^{a} cdot log _{3 a}^{2 a} cdot log _{4 a}^{3 a} =& log _{4 a}^{a} 2 y z=& 2 log _{2 a}^{2 a} cdot log _{3 a}^{2 a} cdot log _{49}^{3 a} =& 2 log _{4 a}^{2 a} x y z-2 y z=& log _{4 a}^{a}-log _{4 a} 4 a^{2} &=log _{4 a}^{log _{4 a} x}=-log _{4 a}^{4 a}=-1 end{aligned} )
Quick and Stepwise Solutions Just click and Send Download App OVER 20 LAKH QUESTIONS ANSWERED Download App for Free