ГДЗ по алгебре 7 класс Мерзляк Задание 1141

\[\boxed{\text{1141\ (1141).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[1)\ 5^{x} \cdot 5^{6} = 5^{24}\]

\[x + 6 = 24\]

\[x = 24 - 6\ \]

\[x = 18.\]

\[2)\ \left( 3^{m} \right)^{x} = 3^{5m}\ \]

\[mx = 5m\]

\[x = 5.\]

\[3)\ 2^{x} \cdot 2^{m} = 2^{6m}\]

\[x + m = 6m\]

\[x = 5m.\]

\[4)\ \left( 4^{x} \right)^{3m} = 4^{6m^{2}}\ \]

\[3xm = 6m^{2}\ \]

\[x = 2m.\ \]