Question

$5 {}^{ \sqrt{x} } + 12 ^{ \sqrt{x} } = 13 ^{ \sqrt{x} }$
then x is equal to​

Answer 1

$\huge\boxed{Answer}$

5^√x + 12^√x = 13^√x

We found that

5² + 12² = 13²

then ,

√x = 2

x = 4

Answer 2

$\huge{\bold{\star{\fcolorbox{black}{red}{Question}}}}$

$5 {}^{ \sqrt{x} } + 12 ^{ \sqrt{x} } = 13 ^{ \sqrt{x} }$

then x is equal to

$\huge{\bold{\star{\fcolorbox{black}{red}{Answer}}}}$

5^√x + 12^√x = 13^√x

We found that

5² + 12² = 13²

then ,

√x = 2

x = 4