Home
Class 12
MATHS
Solve : (log)2(x-1)/(x-2)>0...

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

Text Solution

Verified by Experts

` log_(2).(x-1)/(x-2) gt 0 or (x-1)/(x-2) gt 2^(0)`
` or (x-1)/(x-2) gt 1 or (x-1)/(x-2) - gt 0`
` or (x-1-x+2)/(x-2) gt 0`
` or 1/(x-2) gt 0 or x gt 2`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE PUBLICATION|Exercise ILLUSTRATION 1.61|1 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE PUBLICATION|Exercise ILLUSTRATION 1.62|1 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE PUBLICATION|Exercise ILLUSTRATION 1.59|1 Videos

  • LOGARITHM AND ITS APPLICATIONS

    CENGAGE PUBLICATION|Exercise Subjective Type|9 Videos

  • MATHMETICAL REASONING

    CENGAGE PUBLICATION|Exercise Archives|10 Videos

Similar Questions

Explore conceptually related problems

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

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

Solve : (log)_(0. 3)(x^2-x+1)>0

Solve : (log)_((x+3))(x^2-x)<1

Solve : (log_(2)(x-4)+1)/(log_(sqrt2)(sqrt(x+3)-sqrt(x-3))) = 1 .

Solve (log)_3(x-2)lt=2.

Solve 1<(log)_2(x-2)lt=2.

Solve: (log)_(x+1/x)(log_2(x-1)/(x-2))>0

Solve: (log)_3(2x^2+6x-5)>1

Solve: (log)_2(4.3^x-6)-(log)_2(9^x-6)=1.

Home
Profile