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lg2,\quad OOF:\; x>0\\\\lg(2x\cdot 4x)>lg2\\\\8x^2>2\\\\x^2>4\\\\x^2-4>0\\\\(x-2)(x+2)>0\\\\+ + + + + +(-2)- - - - - (2)+ + + + + + \\\\x\in (-\infty,-2)U(2,+\infty)\\\\Ychtem\; OOF.\\\\Otvet:\; x\in (2,+\infty)" alt="lg2x+lg4x>lg2,\quad OOF:\; x>0\\\\lg(2x\cdot 4x)>lg2\\\\8x^2>2\\\\x^2>4\\\\x^2-4>0\\\\(x-2)(x+2)>0\\\\+ + + + + +(-2)- - - - - (2)+ + + + + + \\\\x\in (-\infty,-2)U(2,+\infty)\\\\Ychtem\; OOF.\\\\Otvet:\; x\in (2,+\infty)" align="absmiddle" class="latex-formula">