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inequacao logaritmica

28 jan 2014, 18:06

\(log_{2}x+log_{2}(x+1)\leq 1\)

Re: inequacao logaritmica

28 jan 2014, 19:20

mariam Escreveu:\(log_{2}x+log_{2}(x+1)\leq 1\)

\(x(x+1)\leq 2^1\Leftrightarrow x^2+x\leq 2\Leftrightarrow x^2+x-2\leq 0\)
C.A
\(x^2+x-2=0\Leftrightarrow x=1 \vee x=-2\)
Domínio:
\(x+1>0 \wedge x>0\Leftrightarrow x>-1\wedge x>0\Leftrightarrow x>0\)
\(x\in ]0,1]\)
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