\[\boxed{\text{244\ (244).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\ x^{7} = 6^{14}\]
\[x^{7} = \left( 6^{2} \right)^{7}\]
\[x = 6^{2}\]
\[x = 36\]
\[Ответ:x = 36.\]
\[2)\ x^{4} = 5^{12}\]
\[x^{4} = \left( 5^{3} \right)^{4}\]
\[x = 5^{3}\text{\ \ \ \ \ }или\ \ \ \ x = - 5^{3}\]
\[x = 125\ \ \ \ \ \ \ \ \ \ \ \ \ \ x = - 125\]
\[Ответ:x = 125;\ - 125.\]