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

Solve the equation log4(2x2+x+1)log4(2x1)=1

Open in App
Solution

According to question,

log4(2x2+x+1)log4(2x1)=1 ............. As , (logalogb=logab)

log4(2x2+x+12x1)=1

2x2+x+12x1=41

2x2+x+1=8x4

2x27x+5=0

x=12,4

x12, as it is not in domain

Hence, x=4


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