Home
Class 12
MATHS
Solve 2(25)^(x) - 5 (10^(x))+2(4^(x)) g...

Solve ` 2(25)^(x) - 5 (10^(x))+2(4^(x)) ge 0`.

Text Solution

Verified by Experts

`2(25)^(x) - 5(10^(x))+2(4^(x))ge 0`
` rArr 2(5)^(2x) - 5 (5)^(x)(2^(x))+2(2^(2x))ge0`
` rArr 2(5/2)^(2x) -5 (5/2)^(x) + 2 ge 0`
` rArr [(5/2)^(x)-2][2(5/2)^(x)-1]ge0`
` rArr (5/2)^(x) le 1/2 or (5/2)^(x) ge 2`
` rArr x le log_(2.5) 0.5 or x ge log_(2.5) 2`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE PUBLICATION|Exercise ILLUSTRATION 1.18|1 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE PUBLICATION|Exercise ILLUSTRATION 1.19|1 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE PUBLICATION|Exercise ILLUSTRATION 1.16|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 : 2(25)^x-5(10^x)+2(4^x)geq0.

Solve (x-1)^2(x+4)<0

Solve:- 5x = 25

solve , 2x^2+5x- 12 =0

Solve : (5^x)/(5^y)=25, (4^y)/(2^x)=2

Answer any One question : Solve : ((x+4)/(x-4))^2 - 5((x+4)/(x-4)) + 6 = 0 , (x ne 4) .

Solve 2^(x+2)-2^(x+3) -2^(x+4) gt 5^(x+1) -5^(x+2) .

Solve : 3x^2+(i-2)x-4i+10=0

Solve x(x+2)^2(x-1)^5 (2x-3)(x-3)^4 ge 0

Solve : ((x-1)^2(x-2)^3(x-4))/((x+1)(x+3)^4) ge0

Home
Profile