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

Solve the inequation `log_(2x+3)x^(2)ltlog_(2x+3)(2x+3)`

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The correct Answer is:
x` in(-3/2,-1)cup(-1,3)`
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ARIHANT MATHS-LOGARITHM AND THEIR PROPERTIES-Exercise (Subjective Type Questions)
  1. Solve the following inequation . (ix) logx(2x-3/4)gt2

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

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

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

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

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

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

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

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

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

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  11. Every Natural number is Whole number?

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

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  13. 2^((sqrt(loga(ab)^(1//4)+logb(ab)^(1//4))-sqrt(loga(b/a)^(1//4)+logb(a...

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  14. It is known that x=9 is root of the equation.loglamda(x^2+15a^2)-logla...

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  15. Solve log4(log3x)+log(1//4)(log(1//3)y)=0 and x^2+y^2=17/4.

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  16. Find dy/dx if log(4x)+log(16x)=4y.

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  17. Find the sum and product of all possible values of x which makes the ...

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  18. Solve : (3)/(2)log(4)(x+2)^(2)+3=log(4)(4-x)^(3)+log(4)(6+x)^(3).

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  19. Find the number of real values of x satisfying the equation. log(2)(...

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  20. Solve the system of equation 2^(sqrtx+sqrty)=256 and log10sqrt(xy)-log...

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