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Solve the following inequation . (iii)...

Solve the following inequation .
(iii) `log_(2)(2-x)ltlog_(1//2)(x+1)`

Text Solution

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The correct Answer is:
x `in (-1,(1-sqrt5)/2)cup((1+sqrt5)/2,2)`
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ARIHANT MATHS-LOGARITHM AND THEIR PROPERTIES-Exercise (Subjective Type Questions)
  1. Solve the following inequation . (i) log((2x+3))x^2lt1

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  2. Solve the following inequation . (ii) log(2x)(x^2-5x+6)lt1

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  3. Solve the following inequation . (iii) log(2)(2-x)ltlog(1//2)(x+1)

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  4. Solve the following inequation . (iv) log(x^2)(x+2)lt1

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  5. Solve the following inequation . (v) 3^(log3sqrt((x-1)))lt3^(log3(x-...

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  6. Solve the following inequation . (vi) log(1//2)(3x-1)^2ltlog(1//2)(x...

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  7. Solve the following inequation . (vii) log(10)x+2lelog10^2x

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  8. Solve the following inequation . (viii) log10(x^2-2x-2)le0

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  9. Solve the following inequation . (ix) logx(2x-3/4)gt2

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  10. Find the value of x of the equation x^2+m-8=0 where m=3

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  11. Solve the inequation log(2x+3)x^(2)ltlog(2x+3)(2x+3)

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  12. Solve the following inequation . (xii) (log2x)^2+3log2xge5/2log(4sqr...

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  13. Solve the following inequation . (xiii) (x^2+x+1)^xlt1

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  14. Solve the following inequation . (xiv) log((3x^2+1))2lt1/2

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  15. Solve the following inequation . (xv) x^((log10x)^2-3log10x+1)gt1000

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  16. Solve the following inequation . (xvi) log4{14+log6(x^2-64)}le2

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  17. Solve the following inequation . (xvii) log2(9-2^x)le10^(log10(3-x))

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  18. Solve the following inequation: 2x+3<5x-4

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  19. Every Natural number is Whole number?

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  20. Find the value of x of log(4)x = 2

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