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

Solve for x: 2log2(x1)>x+5

Open in App
Solution

2log2(x1)>x+5
(x1)log22>x+5[alogbc=clogba]
(x1)2log2(2)>x+5[logamb=1mlogab]
(x1)2>x+5[logaa=1]
x23x4>0
(x4)(x+1)>0
x>4 or x<1 ......(1)

But for log2(x1) to be defined
x1>0
x>1 .....(2)

From (1) and (2), we get
x>4
x(4,)

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Property 1
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon