Home
Class 12
MATHS
If log(3)x + log(3)y =2 + log(3)2 and lo...

If `log_(3)x + log_(3)y =2 + log_(3)2` and `log_(3)(x+y) =2`, then

A

`x=1, y=8`

B

`x=8,y=1`

C

`x=3, y=6`

D

`x=9, y=3`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2010

    WB JEE PREVIOUS YEAR PAPER|Exercise DESCRIPTIVE TYPE QEUSTIONS|10 Videos

  • QUESTION PAPER 2012

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

If log_(2) x xx log_(3) x = log_(2) x + log_(3) x , then find x .

If xy^(2) = 4 and log_(3) (log_(2) x) + log_(1//3) (log_(1//2) y)=1 , then x equals

If log_(a)b=2, log_(b)c=2, and log_(3) c= 3 + log_(3) a,then the value of c/(ab)is ________.

If x = log_(c ) b + log_(b)c , y=log_(a)c + log_(c ) a, z=log_(b)a+log_(a)b , then show that x^(2) + y^(2) + z^(2) - 4 = xyz .

If x = log_(2a)^(a) , y = log_(3a)^(2a) and z = log_(4a)^(3a) show that xyz = 2yz - 1.

If x = log_(2a)a, y = log_(3a)2a , z = log_(4a)3a , then show that xyz + 1 = 2yz .

Solve (log_(3)x)(log_(5)9)- log_x 25 + log_(3) 2 = log_(3) 54 .

Solve for x: log_(4) log_(3) log_(2) x = 0 .

Solve 2 log_(3) x - 4 log_(x) 27 le 5 .

If (log_(5)x)(log_(x)3x)(log_(3x)y)=log_(x)x^(3) , then y equals

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2011-MULTIPLE CHOICE QUESTIONS
  1. If x + 1/x = 2cos theta, then for any integer n, x^(n) + 1/x^(n) =

    Text Solution

    |

  2. If omega ne 1 is a cube root of unity, then the sum of the series S...

    Text Solution

    |

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

    Text Solution

    |

  4. If log(7)2 = lambda, then the value of log(49) (28) is:

    Text Solution

    |

  5. The sequence log a, log (a^(2)/b), log (a^(3)/b^(2)) is:

    Text Solution

    |

  6. If in a triangle ABC, sin A, sin B, sin C are in A.P, then

    Text Solution

    |

  7. |{:(a-b, b-c, c-a),(b-c, c-a, a-b),(c-a, a-b, b-c):}|=

    Text Solution

    |

  8. The area enclosed between y^(2) = x and y=x is:

    Text Solution

    |

  9. Let f(x) = x^(3) e^(-3x) , x gt 0. Then the maximum value of f(x) is:

    Text Solution

    |

  10. The area bounded by y^(2) = 4x and x^(2) = 4y is:

    Text Solution

    |

  11. The acceleration of a particle starting from rest moving in a straight...

    Text Solution

    |

  12. The solution of: (dy)/(dx) = y/x + tan y/x is:

    Text Solution

    |

  13. Integrating Factor (I.F). Of the differential equation: (dy)/(dx) -...

    Text Solution

    |

  14. The differential equation of y=ae^(bx) (a & b are parameters) is:

    Text Solution

    |

  15. The value of: lim(n to infty) sum(r=1)^(n) r^(2)/(r^(3) + n^(3)) is:

    Text Solution

    |

  16. The value of int(0)^(pi) sin^(50)x cos^(49) x dx is:

    Text Solution

    |

  17. int 2^(x) [f'(x) + f(x) (log 2)] dx is

    Text Solution

    |

  18. Let f(x) = tan^(-1) x. Then f'(x) + f''(x) is =0, when x is equal to:

    Text Solution

    |

  19. If y= tan^(-1) ((sqrt(1+x^(2))-1)/x) , then y'(1)=

    Text Solution

    |

  20. The value of lim(x to 1) (x+x^(2)+ ….. + x^(n) -n)/(x-1) is:

    Text Solution

    |