Simplifier une expression du logarithme d'une expression complexe Exercice

\frac{\ln{\left(x \right)}}{2} − \frac{\ln{\left(x + y \right)}}{2} + \frac{\ln{\left(2 \right)}}{2}

\dfrac{\ln(x)}{2}+\dfrac{\ln(x+y)}{2}-\dfrac{\ln(2)}{2}

\ln{\left(\frac{x + y}{2 x} \right)}

2 \ln{\left(\frac{2 x}{x + y} \right)}

\ln{\left(x \right)} + \ln{\left(y \right)} − \frac{\ln{\left(x + y \right)}}{2}

\dfrac{\ln(x+y)}{2}+\ln(x)+\ln(y)

\dfrac{\ln(x+y)}{2}-\ln(x)-\ln(y)

2 \ln{\left(\frac{x y}{\sqrt{x + y}} \right)}

\frac{3 \ln{\left(x \right)}}{2} − \ln{\left(y \right)}

3 \ln{\left(x \right)} − 2 \ln{\left(y \right)}

3\ln(x)+2\ln(y)

2 \ln{\left(\frac{x^{3}}{y^{2}} \right)}

\ln(−3x + 3) − 3 \ln\left(y−1\right)

2 \ln(−3x + 3) − 3 \ln\left(y−1\right)

\ln(−3x + 3) + \dfrac{1}{3} \ln\left(y−1\right)

2 \ln{\left(\frac{- 3 x + 3 }{\left(y − 1\right)^{3}} \right)}

\frac{\ln{\left(x \right)}}{2} − \frac{\ln{\left(y \right)}}{2} − \ln{\left(3 \right)}

\dfrac{\ln(x)}{2}+\dfrac{\ln(y)}{2}+\ln(3)

\dfrac{\ln(x)}{2}-\dfrac{\ln(y)}{2}-\dfrac{\ln(3)}{2}

\dfrac{\ln(x-y)}{2}-\ln(3)