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Given that (log)p x=alpha\ a n d(log)q x...

Given that `(log)_p x=alpha\ a n d(log)_q x=beta,\ ` then value of equals- a.`(alphabeta)/(beta-alpha)` b. `(beta-alpha)/(alphabeta)` c.`(alpha-beta)/(alphabeta)` d. `(alphabeta)/(alpha-beta)`

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ALLEN-LOGARITHMS-All Questions
  1. Given system of simultaneous equations 2^x\ . 5^y=1\ a n d\ 5^(x+1). 2...

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  2. The value of 3^((log)4 5)+4^((log)5 3)-5^((log)4 3)-3^((log)5 4) is- a...

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  3. Given that (log)p x=alpha\ a n d(log)q x=beta,\ then value of equa...

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  4. If (log)c 2.(log)b 625=(log)(10)16.(log)c 10\ w h e r e\ c >0; c!=1; b...

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  5. Number of ciphers after decimal before a significant figure comes i...

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  6. Which of the following when simplified reduces to an integer? a.(2l...

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

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

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  9. The number N=(1+2(log)3 2)/((1+(log)3 2)^2)+log6 2 2 when simplified r...

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

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

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  12. 9. The expression, log log..../p where p 9. The expression, log, log, ...

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

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

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

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  16. If x1and \ x2 are the solution of the equation x^(3log10^3x-2/3log(10)...

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  17. 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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  18. 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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  19. 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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  20. ((log)(10)(x-3))/((log)(10)(x^2-21))=1/2

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