A) 1
B) \[\frac{3}{2}\]
C) 2
D) 3
Correct Answer: A
Solution :
(a): Given expression \[=\frac{1}{{{\log }_{x}}yz+{{\log }_{x}}x}+\frac{1}{{{\log }_{y}}zx+{{\log }_{y}}y}+\frac{1}{{{\log }_{z}}xy+{{\log }_{z}}z}\] \[=\frac{1}{{{\log }_{x}}(xyz)}+\frac{1}{{{\log }_{y}}(xyz)}+\frac{1}{{{\log }_{z}}(xyz)}\] \[={{\log }_{xyz}}x+{{\log }_{xyz}}y+{{\log }_{xyz}}z\] \[={{\log }_{xyz}}\left( xyz \right)=1\]
You need to login to perform this action.
You will be redirected in
3 sec
