Question

Решите уравнения 5^4-5x=1/625

Answer 1

Решение и ответ:

$\displaystyle {5^{4-5x}}=\frac{1}{{625}}$

$\displaystyle {5^{4-5x}}=\frac{1}{{{5^4}}}$

$\displaystyle {5^{4-5x}}={5^{-4}}$

$\displaystyle 4-5x=-4$

$\displaystyle 5x=4+4$

$\displaystyle 5x=8$

$\displaystyle x=8\div5$

$\displaystyle \boxed{x=1.6}$