Berapakah Nilai Y Yang Memenuhi ?, ,

Berapakah nilai y yang memenuhi ?

\rm{} \sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ {x}^{3} } } } } } = \sqrt{ \sqrt{ \sqrt{ {x}^{50y} } } }

 

Jawab:

\large\boxed{\bf{y=\frac{3}{200}}}

Penjelasan dengan langkah-langkah:

\boxed{\bf{\sqrt{x^a}=x^{a/2}}}

maka

\displaystyle \rm\sqrt{ \sqrt{ \sqrt{ \sqrt{ \sqrt{ {x}^{3} } } } } } = \sqrt{ \sqrt{ \sqrt{ {x}^{50y} } } }\\\\<br>ot{x}^{3/(2^5)} = <br>ot{x}^{50y/(2^3)}\\\\\frac{3}{2^5}=\frac{50y}{2^3}\\\\\frac{3}{32}=\frac{50y}{8}\\\\\sf50y=\frac{3(8)}{32}\\\\y=\frac{3(<br>ot8)}{<br>ot32\:_{4\times}(50)}\\\\\large\boxed{\bf{y=\frac{3}{200}}}

<(7o7)>


Comments

Post a Comment