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Let (x(0),y(0)) be the solution of the f...

Let `(x_(0),y_(0))` be the solution of the following equations
`{:((2x)^(ln2)=(3y)^(ln3)),(3^(lnx)=2^(lny).):}`
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
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Knowledge Check

  • 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
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    C
    `1/2`
    D
    6
  • Let (x_(0),y_(0)) be the solution of the equation (2x)^(log2)=(3y)^(log3) and 3^(logx)=2^(logy) . Then x_(0) is

    A
    `(1)/(3)`
    B
    `(1)/(6)`
    C
    `(1)/(2)`
    D
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  • Find the value of x_0 , if (x_0,y_0) be the solution of the following equations (2x)^(In2)=(3y)^(In3),3^(Inx)=2^(Iny)

    A
    `1//6`
    B
    `1//3`
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