Решим уравнение.
b) $$7 \cdot 5^x - 5^{x+2} = -450$$
$$7 \cdot 5^x - 5^x \cdot 5^2 = -450$$
$$7 \cdot 5^x - 5^x \cdot 25 = -450$$
$$5^x (7-25) = -450$$
$$5^x (-18) = -450$$
$$5^x = -450 : (-18)$$
$$5^x = 25$$
$$5^x = 5^2$$
$$x=2$$
Ответ: x = 2