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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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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))=3log_(3)x is :(i)x=6,y=2(ii)x=4,y=3(iii)x=3,y=4(ii)x=2,y=6

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ALLEN-LOGARITHMS-All Questions
  1. Which of the following numbers are positive? a.(log)(log3 2)(1/2) b. ...

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

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

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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)k xdot(log)5k=(log)x5,k!=1,k >0, then x is equal to k (b) 1/5...

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  7. 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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  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. where the base of logarithm is

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

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

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

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

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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 small...

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  19. Comprehension 2 In comparison of two numbers, logarithm of small...

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

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