Bonjour,
justifier sans l'aide de la calculatrice que ln (4√2) = 5/2 ln2
[tex]ln (4\sqrt2) = ln (2^{2} * 2^{\frac{1}{2}}[/tex]
[tex]ln (4\sqrt2) = ln (2^{2+\frac{1}{2}})[/tex]
[tex]ln (4\sqrt2) = ln (2^{\frac{4+1}{2}}[/tex]
[tex]ln (4\sqrt2) = ln (2^{\frac{5}{2}}[/tex]
[tex]ln (4\sqrt2) = \dfrac{5}{2} ln 2[/tex]