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Given system of simultaneous equations `2^x\ . 5^y=1\ a n d\ 5^(x+1). 2^y=2.` Then - (a) . `x=(log)_(10)5\ a n d\ y=(log)_(10)2` (b) . `x=(log)_(10)2\ a n d\ y=(log)_(10)5` (c) . `x=(log)_(10)(1/5)\ a n d\ y=(log)_(10)2` (d) . `x=(log)_(10)5\ a n d\ y=(log)_(10)(1/2)`

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ALLEN-LOGARITHMS-All Questions
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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? a.1/((log)3 2)+2/((...

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  9. The number N=(1+2log(3)2)/((1+log(3)2)^(2))+(log(6)2)^(2) when simplif...

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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 p a n ...

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  12. The expression logp.logp(((p)^(1/p))^(1/p)........n time)^(1/p) where ...

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

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  20. x^((log2 x)+4)=32 then find x.

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