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If log(2)(x+y) =3 and log(2)x + log(2)y ...

If `log_(2)(x+y) =3` and `log_(2)x + log_(2)y =2 + log_(z)3` then the values of x and y are

A

x=1, y=8

B

x=4, y=4

C

x=4, y=8

D

x=2, y=5

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The correct Answer is:
D
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ARIHANT SSC-LOGARITHM -EXERCISE LEVEL 1
  1. If (150)^(x) =7, then x is equal to:

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  2. The value of x satisfying the following relation: log(1//2)x = log(2...

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  3. If log(2)(x+y) =3 and log(2)x + log(2)y =2 + log(z)3 then the values o...

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  4. The set of all the solution of the equation log(5)x log(6)x log(7)x ...

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  5. The value of (log(3)54)/(log(486)3) - (log(3)1458)/(log(18)3) is:

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  6. The number of solution of log(9)(2x-5) = log(3) (x-4) is:

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  7. If log(3)2, log(3)(2^(x)-5) and log(3)(2^(x)-7//2) are in AP then x is...

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  8. If 1 , logy , x , logz , y , -15 logx z are in A.P. , then which is co...

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  9. If log(x)a,a^(x//2) and log(a)x are in G.P, then x is equal to:

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  10. If log(3)2, log(3)(2^(x)-5) and log(3)(2^(x)-7//2) are in AP then x is...

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  11. The value of 1/(log(100)n) + 1/(log(99)n) + 1/(log(98)n) +……..+1/(log(...

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  12. If log(3)2, log(3)(2^(x)-5) and log(3)(2^(x)-7//2) are in AP then x is...

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  13. x^(log (5)x) gt 5 implies:

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  14. Find x, if log x^(3) - log 3x =2 log 2 + log 3,

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  15. If x satisfies log(S)(2x+3) lt log(s)7, then x lies in:

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  16. log(2)sqrt(x)+log(2)sqrt(x)=4

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  17. For a positive real x(x gt 1), which one of the following correct?

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  18. For x in N, x gt 1, if P=log(x)(x+1) and Q = log(x+1) (x+2) then which...

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  19. If a= 1+ log(x) yz, b=1 + log(y)zx and c=1 +log(z)xy, the ab+bc +ca is...

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  20. If xy^(2) = 4 and log(3) (log(2) x) + log(1//3) (log(1//2) y)=1 , then...

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