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 bāˆ’log 2]
loader
No worries! Weā€˜ve got your back. Try BYJUā€˜S free classes today!
B
loga2+logb2+log 2
loader
No worries! Weā€˜ve got your back. Try BYJUā€˜S free classes today!
C
12[log a+log b+4 log 2]
loader
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
12[log aāˆ’log b+4 log 2]
loader
No worries! Weā€˜ve got your back. Try BYJUā€˜S free classes today!
Open in App
Solution

The correct option is C 12[log a+log b+4 log 2]
a2+4b2=12abā‡’a2+4b2+4ab=16abā‡’(a+2b)2=16ab
ā‡’2log(a+2b)=log 16+log a+log b
āˆ“ log(a+2b)=12[log a+log b+4 log 2]

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
footer-image