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

If a2+4b2=12ab, then log (a + 2b) is


A

12[log a+log blog 2]

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

loga2+logb2+log2

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

12[log a+log b+4log 2]

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

12[log alog b+4 log 2]

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C

12[log a+log b+4log 2]


a2+4b2+4ab=16ab
(a+2b)2=16ab
2log(a+2b)=4log 2+log a+log b

Therefore log (a +2b) = 12(4log2+loga+logb)


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