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Question

Question: The equation \(x^{\log_{x}(2 + x)^{2}} = 25\)holds for...

The equation xlogx(2+x)2=25x^{\log_{x}(2 + x)^{2}} = 25holds for

A

x=6x = 6

B

x=3x = - 3

C

x=3x = 3

D

x=7x = 7

Answer

x=3x = 3

Explanation

Solution

Given equation xlogx(2+x)2=25(2+x)2=25x^{\log_{x}(2 + x)^{2}} = 25 \Rightarrow (2 + x)^{2} = 25 hold forx=3x = 3