Question

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

• A. $x = 6$
• B. $x = - 3$
• C. $x = 3$
• D. $x = 7$

Answer 1

Answer: (C)

$x = 3$

Answer 2

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

$= \frac{e - e^{- 1}}{2} + \frac{e + e^{- 1}}{2} = e$