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

If log2x0.5=log2x, then x equals to

Open in App
Solution

log2x0.5=log2x
For the equation to be defined,
log2x0 and x>0
x1 and x>0
x1

Now, log2x0.5=log2x
log2x12=12log2x
Let log2x=tt0
Then t12=12t
2t1=t(t)22t+1=0t=1t=1x=2

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Conditions on Logarithmic Functions
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon