Question
The number of real solutions of the equation $${\log _{0.5}}x = \left| x \right|$$ is
A.
1
B.
2
C.
0
D.
none of these
Answer :
1
Solution :
It is clear from the graph that there is only one point of intersection of the curves $$y = \left| x \right|\,\,{\text{and }}y = {\log _{\frac{1}{2}}}x.$$
So, there is only one real solution
It is clear from the graph that there is only one point of intersection of the curves $$y = \left| x \right|\,\,{\text{and }}y = {\log _{\frac{1}{2}}}x.$$
So, there is only one real solution