CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

If x2log10x=1000x, then the number of real values of x is 


A
1
loader
B
2
loader
C
3 
loader
D
4 
loader

Solution

The correct option is B 2
x2log10x=1000x
For the log to be defined, we get
x>0 and x1
Taking logx on both the sides, we get 
2log10x=logx(1000x)
2log10x=logx103+logxx
2log10x=3logx10+1
2log10x=32log10x+1

Assuming log10x=t
2t=3t+12t2t3=0(2t3)(t+1)=0t=1,32log10x=1,32x=110,103/2

Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More



footer-image