Question

решите уравнение
Lg(3x-10)=lg(7-2x)

Answer 1

$lg(3x-10)=lg(7-2x)\-------------\ left { {{3x-10 textgreater 0} atop {7-2x textgreater 0}} right. \ left { {{3x textgreater 10} atop {-2x textgreater -7}} right. \ left { {{x textgreater frac{10}{3} } atop {x textless frac{7}{2} }} right. \ xin(frac{10}{3};frac{7}{2} )\ -------------\ 3x-10=7-2x\ 3x+2x=7+10\ 5x=17\ x= frac{17}{5} \ x=3.4$

Ответ: x=3.4