Question

Решите неравенство: ㏒5(x^2-24)<2

Answer 1

$log(5, x^2-24)<2\1) x^2-24>0 \x^2>24\x>sqrt[]{24}\x<- (sqrt[]{24})\2) log(5, x^2-24)<log(5, 25)\x^2-24<25\x^2<49\x<7\x>-7\OTBET: x(-7; -2sqrt{6} )U(2sqrt{6} ;7)$