Question

Demonstrati: log2/3 din 3/2 = log3/2 din 2/3

Answer 1

$\log_\frac{2}{3}\frac{3}{2}=\log_{(\frac{3}{2})^{-1}}(\frac{2}{3})^{-1}=\frac{-1}{-1}\log_{\frac{3}{2}}\frac{2}{3}=\log_{\frac{3}{2}}\frac{2}{3}$