A) -1
B) 0
C) 1
D) xyz
Correct Answer: C
Solution :
(c): \[x={{y}^{x}},y={{z}^{y}},z={{x}^{y}}\] \[\Rightarrow x=lo{{g}_{y}}x,y=lo{{g}_{z}}y,z=lo{{g}_{x}}z\] \[\Rightarrow xyz=\left( {{\log }_{y}}x \right)\times \left( {{\log }_{z}}y \right)\times \left( {{\log }_{x}}z \right)\] \[\Leftrightarrow xyz=\left( \frac{\log x}{\log y}\times \frac{\log y}{\log z}\times \frac{\log z}{\log x} \right)=1.\]
You need to login to perform this action.
You will be redirected in
3 sec
