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|log(3) x| lt 2...

`|log_(3) x| lt 2`

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The correct Answer is:
`x in (1/9,9)`
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log_(2)|x| lt 3

If (log_(3)x)^(2)+log_(3)x lt2 , then which one of the following is correct?

Statement - 1 : If x gt 1 then log_(10)x lt log_(3)x lt log_(e )x lt log_(2)x . Statement - 2 : If 0 lt x lt 1 , then log_(x)a gt log_(x)b implies a lt b .

Statement-1: "log"_(10)x lt "log"_(pi) x lt "log"_(e) x lt "log"_(2) x Statement-2: x lt y rArr "log"_(a) x gt "log"_(a) y " when " 0 lt a lt 1

Prove that 1/3 lt log_(20) 3 lt 1/2 .

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RESONANCE-DPP-QUESTION
  1. |x-1|+|x-2|+|x-3| ge 6

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  2. log(2)|x| lt 3

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  3. |log(3) x| lt 2

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  4. Make the following expressions free from modulus sign : (i) |x^(2) -...

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  5. Consider the equation p = 5-2q - 3 Greatest sat of all possible valu...

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  6. Consider the equation p = 5-2q - 3 If p = 4 then possible values of ...

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  7. Consider the equation p = 5-2q - 3 If p = |r| + 5, then number of po...

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  8. Total number of values of ' x ' satisfying the equation, 2^(cos2x)=3. ...

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  9. If P=cospi/(20)dotcos(3pi)/(20)dotcos(7pi)/(20)dotcos(9pi)/(20)&Q=cosp...

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  10. tan^2 (pi/16) + tan^2 ((2pi)/16) + tan^2((3pi)/16).........+tan^2((7pi...

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  11. Consider Sn=1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+1/(6^2+4)+,,, upto n terms t...

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  12. If y = x^(3) - 3x+2, then draw the graph of the followings

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  13. The sum sum(m)^(i=0) ({:(10),(i):})({:(20),(m-i):}), (where ({:(p),(q)...

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  14. Co-efficient of alpha^t in thet expansion of (alpha+p)^(m-1)+(alpha+...

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  15. The sum of the series C 20()0-C 20()1+C 20()2-C 20()3+...-...+C 20()(1...

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  16. The term independent of x in the expansion of (x-1/x)^4(x+1/x)^3...

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  17. The co-efficient of x x^(n-2) in (x-1)(x-2)(x-3)(x-n) is :

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  18. If alpha, beta are the roots of the equation x^(2)+alphax + beta = 0 s...

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  19. Find the product of the real roots of the equation, x^2+18x +30=2sqrt(...

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  20. If x^(2)+x=1-y^(2) , where x gt 0, y gt 0, then find the maximum value...

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