Home
Class 11
MATHS
Solve : 6(logx2-(log4x)+7=0....

Solve : `6(log_x2-(log_4x)+7=0.`

Text Solution

Verified by Experts

`6(log_x2 - log_4x)+7 = 0`
`=>6(log_2 2/(log_2 x) - log_2x/log_2 4) +7 = 0`
`=>6(1/(log_2 x) - log_2x/2) +7 = 0`
Let `log_2x =t`, then our equation becomes,
`=>6(1/t - t/2)+7 =0`
`=>12-6t^2+14t = 0`
`=>3t^2- 7t -6 =0`
`=>3t^2- 9t + 2t -6 =0`
...
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 : 2(log)_3x-4(log)_x 27lt=5 (x >1)

Solve log_2|x-1|<1

Solve : 3log_x(4)+ 2log_(4x)4+3log_(16x)4=0

Solve (log)_x2(log)_(2x)2=(log)_(4x)2.

Solve : log_(x^(2)16+log_(2x)64=3 .

Solve (log)_(2x)2+(log)_4 2x=-3//2.

Solve 2 log_(3) x - 4 log_(x) 27 le 5 .

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

Solve : log_(3)x . log_(4)x.log_(5)x=log_(3)x.log_(4)x+log_(4)x.log_(5)+log_(5)x.log_(3)x .

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