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The solution set of the system of equati...

The solution set of the system of equations
`log_12 x(1/(log_x 2)+log_2 y)=log_2 x` and `log_2 x.(log_3(x+y))=3 log_3 x` is :
`(i) x=6, y=2`
` (ii) x=4, y=3`
`(iii) x=2, y=6`
`(iv) x=3, y=4 `

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ALLEN -LOGARITHMS-All Questions
  1. Which one of the following denotes the greatest positive proper frac...

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

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

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

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

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

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

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

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  11. 9^(1+logx)-3^(1+logx)-210=0 where the base of log is 10

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  12. 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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  13. Statement I: If (log)(((log)5x))5=2,\ t h n\ x=5^(sqrt(5)) Statemen...

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  14. Statement 1 is True: Statement 2 is True; Statement 2 is a correct e...

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

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  16. Let f(theta)=sin(tan^(-1)((sintheta)/(sqrt(cos2theta))), where -(pi)/(...

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

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  18. Comprehension 2 In comparison of two numbers, logarithm of smaller...

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  19. Comprehension 2: In comparison of two numbers, logarithm of smaller nu...

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  20. Comprehension 3: If P is the non negative characteristic of (log)(10)...

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