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Trouver l'ensemble \(S \) des \(x\) tels que \(e^{2x} - 2 e^x + 1 = 0 \).
\(S = \emptyset\)
\(S = \{\ln(2)\}\)
\(S = \{\ln(2), -\ln(2)\} \)
\(S = \{0\} \)
Calculez \(\displaystyle\lim_{\stackrel{x \rightarrow 0}{x > 0}} x\ln(x) \).
\(1 \)
\(0\)
La limite n'existe pas.
La limite n'a pas de sens.
Trouver l'ensemble \(S \) des \(x\) tels que \(\ln(x) + \ln(x + 1) = 0\).
\(S =\left \{\dfrac{-1 - \sqrt{5}}{2}, \dfrac{-1 + \sqrt{5}}{2} \right\} \)
\(S =\left \{\dfrac{-1 + \sqrt{5}}{2}\right\} \)
\(S =\left \{\dfrac{-1 - \sqrt{5}}{2}\right\} \)
\( S = \emptyset \)
Trouver l'ensemble \(S \) des \(x\) tels que \(\ln(x^2 + x - 1) = \ln(x)\).
\( S = \emptyset\)
\(S = \{1, -1\}\)
\(S = \{-1, 2\} \)
\(S = \{1\} \)
Trouver l'ensemble \(S \) des \(x\) tels que \(e^{2x} + 2 e^x + 1 = 0\).
\(S = \{0\}\)
\( S = \{\ln(2)\}\)
Trouver l'ensemble \(S \) des \(x\) tels que \(e^{3x} + e^{2x} - 2e^x = 0\).
\(S = \{0, -2, 1\} \)
\(S = \{-2, 1\}\)
\( S = \{0\} \)
Trouver l'ensemble \(S \) des \(x\) tels que \(\log_2(x) = 2\log_2(3) - \log_2(x - 5) + 2\)
\( S = \{9\} \)
\(S = \{-4\} \)
\(S = \{-4, 9\} \)
\( S = \mathbb{R} \)
Trouver l'ensemble \(S \) des \(x\) tels que \(2\ln(x) = \ln(2x) \).
\(S = \{2\} \)
\(S = \{2, 0\} \)
\( S = \{\frac{1}{2}, 2\} \)
Trouver l'ensemble \(S \) des \(x\) tels que \(e^{e^x} = 1\).
\(S = \mathbb{R}\)
\( S = \mathbb{R}^{+} \)
Trouver l'ensemble \(S \) des \(x\) tels que \(\ln(5x) - \ln(x + 1) = \ln(2)\).
\(S = \{-1\}\)
\(S = \left\{\dfrac{1}{4}\right\} \)
\(S =\left \{\dfrac{1}{3}\right\} \)
\( S =\left \{\dfrac{2}{3}\right\} \)
