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If a^x=b , b^y=c ,c^z=a and x=(log)b a^...

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 ,`
where `a,b, c >0` and ` a , b , c!=1` then `k` is equal to
a.`1/5` b. `1/6` c.`(log)_(64)2` d. `(log)_(32)2`

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ALLEN -LOGARITHMS-All Questions
  1. The value of N satisfying (log)a[1+(log)b\ {1+(log)c(1+(log)p N)}]=0 i...

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  2. If alpha, beta, gamma are the roots of the cubic x^(3)-px^(2)+qx-r=0 ...

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  3. 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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  4. The number of real solutions of the equation (9/10)^(x)=-3+x-x^(2) is

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

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

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

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  8. If alpha, beta be the roots of the equation x^(2)-px+q=0, then find th...

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  9. Which one of the following denotes the greatest positive proper frac...

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  10. If log(a)b +log(b)c = +log(c) a vanishes where a,b and c are positive ...

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

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

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  13. 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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  14. If (log)kx . (log)5k=(log)x5,k!=1,k >0, then x is equal to k (a) k ...

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

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  16. ((log)(10)(x-3))/((log)(10)(x^2-21))=1/2

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  17. x^((log2 x)+4)=32

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  18. Solve for x if log(x-1)+log(x+1)=log1

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  19. 9^(1+logx)-3^(1+logx)-210=0 where the base of log is 10

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  20. Statement I: If a=y^2,\ b=z^2, c=x^2,\ t h e n8(log)a x^3dot(log)b y^3...

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