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Which of the following are correct? a.(...

Which of the following are correct?
a.`(log)_3 19.(log)_(1//7)3.(log)_4 1/7>2`
b. `(log)_5(1//23)` lies between `-2 &-1`
c.`\ ` If `m=4^((log)_4 7)a n d\ n=(1/9)^(-(log)_3 7)t h e n\ n=m^4`
d. `(log)_(sqrt(5))sin(pi/5)dot(log)_(sqrt(sin(pi/5)))5` simplifies to an irrational number

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ALLEN-LOGARITHMS-All Questions
  1. Which of the following when simplified, vanishes? a.1/((log)3 2)+2/((...

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

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

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

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

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

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

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

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  9. 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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  10. 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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  11. 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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  12. ((log)(10)(x-3))/((log)(10)(x^2-21))=1/2then find x.

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

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  14. where the base of logarithm is ?

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  15. 9^(1+logx)-3^(1+logx)-210=0 where the base of log is 10

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

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

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

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  19. Comprehension 1 Let a^((log)b x)=c\ w h e r e\ a ,\ b ,\ c\ &\ x...

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  20. Comprehension 1 Let a^((log)b x)=c\ w h e r e\ a ,\ b ,\ c\ &\ x...

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