Question

СРОЧНО РЕШИТЕ УРАВНЕНИЕ ПЖЛ
eogосн3*(2-x)-1=logосн3*5+logосн3*(x+4)

Answer 1

$log_3(2-x)-1=log_35+log_3(x+4)\\ODZ:; left { {{2-x textgreater 0} atop {x+4 textgreater 0}} right. ; left { {{x textless 2} atop {x textgreater -4}} right. ; ; Rightarrow ; ; -4 textless x textless 2\\log_3(2-x)-log_33=log_35(x+4)\\log_3 frac{2-x}{3} =log_3(5x+20)\\ frac{2-x}{3} =5x+20\\2-x=15x+60\\16x=-58\\x=-frac{58}{16}\\x=-3,625in ODZ$