Question

log3(12-2x-x2)2
$log_3(12 - 2x - times ^{2} ) > 2$

Answer 1

$log_3(12 - 2x - times ^{2} ) textgreater 2 \ \ ODZ:12-2x-x^2 textgreater 0 \ x^2+2x-12 textless 0 \ D=4+4*12=52 \ x_{1} =(-2+ sqrt{52} )/2;x_{2} =(-2- sqrt{52} )/2; \ \ xin((-2- sqrt{52} )/2;(-2+ sqrt{52} )/2) \ \ log_3(12 - 2x - times ^{2} ) textgreater log_39 \ \ 3 textgreater 1 \ \ 12-2x-x^2 textgreater 9 \ \ x^2+2x-3 textless 0 \ \ D=16; x_{1} =(-2-4)/2=-3;x_{2} =(-2+4)/2=1 \ \ +++(-3)---(1)+++ \ \OTVET: xin(-3;1)$

Answer 2

большое спасибо❤