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If and , then find the value of . (Assume that ):

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answer is B.

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Detailed Solution

Concept: Take the expression

x^{y} = y^{x}

and apply logins on both sides. Then use the logarithmic property to simplify it, and then plug

into the simplified equation. Gets the value of y. Then assign the value of y in

to get the value of x. Once you have the values for x and y, enter the values for

.
Given,

By substituting the x value in the(1)equation we get
Question Image

By putting y value in equation 2
We get,

The value of

Hence, the correct answer is option (2)

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