Question

$log_{ frac{10}{3} } (1-1.4x) textless -1$

Answer 1

$log_{ frac{10}{3} } (1-1.4x) textless -1$
ОДЗ:
$1-1.4x textgreater 0$
$-1.4x textgreater -1$
$1.4x textless 1$
$x textless frac{5}{7}$

$log_{ frac{10}{3} } (1-1.4x) textless log_{ frac{10}{3} }0.3$
$1-1.4x textless 0.3$
$-1.4x textless 0.3-1$
$-1.4x textless -0.7$
$x textgreater 0.5$

-------------(0.5)----------------
                    ///////////////////
-----------------------(5/7)--------
////////////////////////////

Ответ: $(0.5; frac{5}{7} )$