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

If logxyz=logyzx=logzxy , then xyz=?

Open in App
Solution

Let logxyz=logyzx=logzxy=k (say)

logx=k(yz), logy=k(zx), logz=k(xy)

Now,log(xyz)=logx+logy+logz

log(xyz)=k(yz+zx+xy)

log(xyz)=0

log(xyz)=log1

xyz=1

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