CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Prove that xlogylogz×ylogzlogx×zlogxlogy=1

Open in App
Solution

Let LHS=xlogylogz×ylogzlogx×zlogxlogy
=elog(xlogylogz×ylogzlogx×zlogxlogy) (eloga=a)
=elogx(logylogz)+logy(logzlogx)+logz(logxlogy)
=e(logylogz)logx+(logzlogx)logy+(logxlogy)logz
(logab=bloga)
=elogy.logxlogz+logx+logzlogylogxlogylogxlogzlogylogz
=eo
=1
=RHS

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