Home
Class 14
MATHS
Let (x0,y0) be the solution of the follo...

Let `(x_0,y_0)` be the solution of the following equations
`(2x)^(In2)=(3y)^(In3)` `3^(Inx)=2^(Iny)`, then `x_0` is

A

`1//6`

B

`1//3`

C

`1//2`

D

6

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    QUANTUM CAT|Exercise QUESTION BANK|547 Videos

  • MENSURATION

    QUANTUM CAT|Exercise QUESTION BANK|449 Videos

Similar Questions

Explore conceptually related problems

Let (x_(0),y_(0)) be the solution of the following equations (2x)^(ln2)=(3y)^(ln3) and 3^(lnx)=2^(lny) then 2x_(0)=

Let (x_(0),y_(0)) be the solution of the following equations In (2x)^(In2)=(3y)^(ln3) and 3^(ln x)=2^(ln y) Then x_(0) is

Let (x_(0),y_(0)) be the solution of the following equations: (2x)^(1n2)=(3y)^(1n3)3^(1nx)=2^(1ny) The x_(0) is (1)/(6) (b) (1)/(3)(c)(1)/(2)(d)6

Let (x_(0),y_(0)) be the solution of the following equations: (2x)^(ln2)=(3y)^(ln3) and 3^(ln x)=2^(ln y) Then value of x_(0) is:

Find the solution of the pair of equations: x-y+1=0, 3x+2y-12=0

The solution of the differential equation (2x-4y+3)(dy)/(dx)+(x-2y+1)=0 is

Solve the following equations : 0.2x+0.3y=1.3 0.4x+0.5y=2.3

Let y=(x) be the solution of the differential equation (dy)/(dx)+2y=(x) .Where :f(x)={1,x in[0,1] and 0, otherwise If y(0)=0 then y((3)/(2)) is

QUANTUM CAT-LOGARITHM-QUESTION BANK
  1. The greatest possible value of n could be if 9^(n)lt10^(8), given tha...

    Text Solution

    |

  2. The set of all x satisfying the equation x^(log)3x^2+((log)3x)^(2-10)=...

    Text Solution

    |

  3. The set of all the solution of the inequality log(2-x) (x-3) ge 1 is :

    Text Solution

    |

  4. If log3 30=1/a and log5 30=1/b then the value of 3log30 2 is:

    Text Solution

    |

  5. The set of all values of x satisfying x^(logx|3-x|^2)=4:

    Text Solution

    |

  6. The set of all x satisfying 4^(x^2+2)-9.2^(x^2+2)+8=0

    Text Solution

    |

  7. The equation x^([(log(3)x)^(2) - 9/2 log(3) x + 5] ) = 3sqrt3 has

    Text Solution

    |

  8. Number of real values of x satisfying the equation log(x^2+6x+8)(log(2...

    Text Solution

    |

  9. For every p being real number the solution set of the inequality log10...

    Text Solution

    |

  10. The number of real solutions of the equation 2log2log2x+log(1//2)log2(...

    Text Solution

    |

  11. The number of solutions of the equation log(x//2)x^(2) + 40 log(4x)...

    Text Solution

    |

  12. Find the value interval of x for the inequality -6lex^2-5xle6 .

    Text Solution

    |

  13. The value of x satisfying the inequalities hold: qquad log(0.2)(x+5)>...

    Text Solution

    |

  14. The least value of expression 2 log(10)x - log(x) (1//100) for x gt 1 ...

    Text Solution

    |

  15. The equation x^((3)/4 (log2x)^2+log2 x -(5)/(4))=sqrt(2) has :

    Text Solution

    |

  16. The number of solutions of the equation log((2x + 3)) ( 6x^(2) + 23...

    Text Solution

    |

  17. The set of real values of x satisfying the equation |x-1|^(log3(x^2)-...

    Text Solution

    |

  18. Let (x0,y0) be the solution of the following equations (2x)^(In2)=(3...

    Text Solution

    |

  19. The number log20 3 lies in

    Text Solution

    |

  20. Find the number of zeros in the product of 10!.

    Text Solution

    |