Страница 79 номер 212, ГДЗ по алгебре за 10-11 класс Алимов - ответы и решение

1) \(5^{x} = 8^{x}\)
\(\dfrac{5^{x}}{8^{x}} = 1,\)
\(\left(\dfrac{5}{8}\right)^{x} = \left(\dfrac{5}{8}\right)^{0},\)
\(x = 0;\)

2) \(\left(\frac{1}{2}\right)^{x} = \left(\frac{1}{3}\right)^{x}\)
\(\left(\dfrac{1}{2}\right)^{x} : \left(\dfrac{1}{3}\right)^{x} = 1,\)
\(\left(\dfrac{3}{2}\right)^{x} = \left(\dfrac{3}{2}\right)^{0},\)
\(x = 0;\)

3) \(3^{x} = 5^{2x}\)
\(\dfrac{3^{x}}{25^{x}} = 1,\)
\(\left(\dfrac{3}{25}\right)^{x} = \left(\dfrac{3}{25}\right)^{0},\)
\(x = 0;\)

4) \(4^{x} = 3^{\frac{x}{2}}\)
\(\dfrac{4^{x}}{\sqrt{3^{x}}} = 1,\)
\(\left(\dfrac{4}{\sqrt{3}}\right)^{x} = \left(\dfrac{4}{\sqrt{3}}\right)^{0},\)
\(x = 0.\)