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Which of the following when simplified, ...

Which of the following when simplified, vanishes?
a.`1/((log)_3 2)+2/((log)_9 4)-3/((log)_(27)8)`
b.`(log)_2(2/3)+(log)_4(9/4)`
c. `-(log)_8(log)_4(log)_2 16`
d.`(log)_(10)cot1^0+\ (log)_(10)cot2^0+(log)_(10)cot3^0++(log)_(10)cot89^0`

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ALLEN-LOGARITHMS-All Questions
  1. Which of the following when simplified reduces to an integer? a.(2l...

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  2. The equation ((log)8(8/(x^2)))/(((log)8x^2))=3 has- a.\ no integra...

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  3. Which of the following when simplified, vanishes? a.1/((log)3 2)+2/((...

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  4. The number N=(1+2log(3)2)/((1+log(3)2)^(2))+(log(6)2)^(2) when simplif...

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  5. Which of the following are correct? a.(log)3 19.(log)(1//7)3.(log)4 1...

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  6. If p , q in N satisfy the equation x^sqrt(x)=(sqrt(x))^x, then p a n ...

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  7. The expression logp.logp(((p)^(1/p))^(1/p)........n time)^(1/p) where ...

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  8. Which of the following numbers are positive? a.(log)(log3 2)(1/2) b. ...

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  9. lf logpq+logq r +logr p vanishes where p, q and r are positive reals d...

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  10. The solution set of the system of equations log12 x(1/(logx 2)+log2 y)...

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  11. If a^x=b , b^y=c ,c^z=a and x=(log)b a^2; y=(log)c b^3& z=(log)a c^k ...

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  12. If (log)k xdot(log)5k=(log)x5,k!=1,k >0, then x is equal to k (b) 1/5...

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  13. If x^3//4((log)3x)^(2+(log)3x-5//4)=3,\ t h e n\ x has- a. one positiv...

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  14. ((log)(10)(x-3))/((log)(10)(x^2-21))=1/2then find x.

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  15. x^((log2 x)+4)=32 then find x.

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  16. where the base of logarithm is ?

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  17. 9^(1+logx)-3^(1+logx)-210=0 where the base of log is 10

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  18. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

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  19. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

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  20. Statement I: the equation (log)(1/(2+|"x"|))(5+x^2)=(log)()(15+sqrt(x)...

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