Exercice 1 : Simplifier l'expression :
\(A\ =\ \dfrac{e^{3x+2} \cdot e^{x-1}}{e^{2x} \cdot e^{4}} \)
\(B = \ln(e^{2x+1}) + \ln(e^{x}) - \ln(e^{3x}) \)
\( C = e^{\ln(5x^2)} \cdot e^{2\ln(x)} \)
\( D = e^{3x} \cdot (e^{2x})^{2} \cdot \dfrac{1}{e^{x+1}} \)
\( E = \ln\!\left(\dfrac{e^{4x+2}}{(e^{x})^{3} \cdot e^{2}}\right) \)