CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

If y=21logx4, then value of x in terms of y is

A
2y
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
-2y
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
y2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
y2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C y2
Since, y=21logx4Taking log both sides with base 2, we getlog2y=1logx4 (As x>0, x1)log2y=log4x (As logab=1logba)log2 y=log22 x log2 y=12log2 x2log2 y=log2 xx=y2


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Fundamental Laws of Logarithms
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon