Question

логарифмическое неравенство, номер 2!

Answer 1

$log_3(2-3^x) textless x+1-log_34 \ \ log_3(2-3^x)+log_34 textless (x+1)cdot log_33 \ \ log_3(2-3^x)cdot 4 textless log_33^{x+1} \ \ left { {{2-3^x textgreater 0} atop {(2-3^x)cdot 4 textless 3^{x+1} }} right.$

$left { {{2-3^x textgreater 0} atop {8-4cdot 3^x textless 3cdot3^{x} }} right. \ \ left { {{3^x textless 2} atop {8 textless 7cdot3^{x} }} right. \ \ frac{8}{7} textless 3^x textless 2 \ \ log_3{ frac{8}{7}} textless x textless log_32$