Question

помогите решить неравенство

Answer 1

$log_{2 \sqrt{5} } \: x - log_{2 \sqrt{5} }(x - 1) = log_{2 \sqrt{5} }20$

$\frac{x}{x - 1} = 20$

$x = 20 \times (x - 1)$

$x = 20x - 20$

$20x - x = 20$

$19x = 20$

$x = \frac{20}{19}$