Question

lg2x+lg4x>lg2 pomogite

Answer 1

$lg2x+lg4x>lg2,quad OOF:; x>0\\lg(2xcdot 4x)>lg2\\8x^2>2\\x^2>4\\x^2-4>0\\(x-2)(x+2)>0\\+ + + + + +(-2)- - - - - (2)+ + + + + + \\xin (-infty,-2)U(2,+infty)\\Ychtem; OOF.\\Otvet:; xin (2,+infty)$