Home
Class 11
MATHS
Solve log2|x-1|<1...

Solve `log_2|x-1|<1`

Text Solution

Verified by Experts

`log_2 |x-1| lt 1`
`=>|x-1| lt 2^1`
`=>|x-1| lt 2`
Case 1: When `x ge1`,
Then, `x -1 lt 2`
`=> x lt 3`
`:. x in [1,3)`
...
Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    CENGAGE|Exercise Solved Examples And Exercises|63 Videos
  • PERMUTATIONS AND COMBINATIONS

    CENGAGE|Exercise Solved Examples And Exercises|324 Videos

Similar Questions

Explore conceptually related problems

Solve log_(2)|x-1| lt 1 .

Solve (log)_2(x-1)> 4.

Solve log_x(x^2-1)<=0

Solve (log)_2(3x-2)=(log)_(1/2)x

Solve log_(4)(x-1)= log_(2) (x-3) .

Solve log_(2).(x-4)/(2x+5) lt 1 .

Solve log_(3)|x|gt 2 .

Solve log_(2)|4-5x| gt 2 .

Solve : (log)_2(x-1)/(x-2)>0