wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If log2x2logx2=log4x2, then number of integral values of x is equal to

A
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 0
log2x2logx2=log4x2
For log to be defined
2x>0 and 2x1 ...(1)
x>0 and x1 ...(2)
4x>0 and 4x1 ...(3)
From equations (1),(2) and (3)
x>0 and x14,12,1

Now,
log2x2logx2=log4x2
1log22x1log2x=1log24x
log22xlog2x=log24x
(1+log2x)log2x=2+log2x
(log2x)2=2
log2x=±2
x=2±2Z

Hence, the number of integral values of x is 0.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon