Răspuns:
Explicație pas cu pas:
la sigur sunt diferite metode de demonstrare, dar vom aplica urmatoarea..
[tex]log_{\frac{2}{3} }\frac{3}{2}=log_{\frac{2}{3} }(\frac{2}{3})^{-1}=-1*log_{\frac{2}{3} }\frac{2}{3}=-1*1=-1\\log_{\frac{3}{2} }\frac{2}{3}=log_{\frac{3}{2} }(\frac{3}{2})^{-1}=-1*log_{\frac{3}{2} }\frac{3}{2}=-1*1=-1\\Deci~log_{\frac{2}{3} }\frac{3}{2}=log_{\frac{3}{2} }\frac{2}{3}[/tex]
