Home
Class 12
MATHS
Solve (log)(2x)2+(log)4 2x=-3//2....

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

Text Solution

Verified by Experts

Given equation is
` 1/(1+log_(2)x)+(log_(2)2x)/2 =- 3/2`
` or 1/(1+log_(2) x)+(1+log_(2)x)/2 =- 3/2`
Let ` 1+ log_(2) x = y`
` rArr 1/y + y/2 =- 3/2`
` or 2+y^(2)+3y = 0`
` or y =- 1 or -2`
` rArr 1+ log_(2)x =- 1 or -2`
`or log_(2)x =- 2 or -3`
` rArr x = 2^(-2) or 2^(-3)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE PUBLICATION|Exercise Example 1.10|1 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE PUBLICATION|Exercise Exercise 1.1|6 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE PUBLICATION|Exercise Example 1.8|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)_2(3x-2)=(log)_(1/2)x

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

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

Solve : 6((log)_x2-(log)_4x)+7=0.

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

Solve : log_(2)log_(2)log_(2)x=-1

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

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

Solve (log)_(tanx)(2+4cos^2x)=2

Home
Profile