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The ratio (2^(log(2)a^4)-3^(log(27)(a^2+...

The ratio `(2^(log_(2)a^4)-3^(log_(27)(a^2+1)^3)-2a)/((7^(4log_(49)a)-a-1))` simplfies to

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ALLEN -LOGARITHMS-All Questions
  1. Solve : (log)((2"x"-1))\ ((x^4+2)/(2x+1))\ =1

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  2. 1/((log)(sqrt(b c))a b c)+1/((log)(sqrt(c a))a b c)+1/((log)(sqrt(a b)...

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  3. The ratio (2^(log(2)a^4)-3^(log(27)(a^2+1)^3)-2a)/((7^(4log(49)a)-a-1)...

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  4. The value of expression, (log)4((x^2)/4)-2(log)4(4x^4) when x=-2 is ...

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  5. If 1/a+1/b+1/c = 1/(a+b+c) then (a+b)(b+c)(c+a)=....... a.a b c ...

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

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  7. If p=s/((1+k)^n),\ t h e n\ n\ equals a.logs/(p(1+k)) b. (log(s/p)...

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  8. Value of x satifying (log)(10)sqrt(1+x)+3(log)(10)sqrt(1-x)=(log)(10)s...

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  9. Given system of simultaneous equations 2^x\ . 5^y=1\ a n d\ 5^(x+1). 2...

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  10. The value of N satisfying (log)a[1+(log)b\ {1+(log)c(1+(log)p N)}]=0 i...

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

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

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

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

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

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

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

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

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