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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. Solve the following inequation . log(1//3)xltlog(1//2)x

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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) log2^2x+3log2xge5/2log(4sqrt2...

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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 . (xviii) loga((2x+3)/x)ge0 for (a) a...

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  11. Solve the following inequation . (xix) 1+log2(x-1)lelog(x-1)4

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  12. Solve the following inequation . (xx) log(5x+4)x^2lelog(5x+4)(2x+3)

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  13. Solve sqrt(logx(a x)^(1/5)+loga(a x)^(1/5))+sqrt(loga(x/a)^(1/5)+logx(...

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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 the real values (s) of x satisfying the equation log(2x)(4x)+log(...

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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. Solve log2(4^(x+1)+4).log2(4^x+1)=log(1//sqrt2)(1/sqrt8).

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

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