Question

log 729/64 na base 2/3

Answer 1

$\log_{\frac{2}{3}}\frac{729}{64}=x$
$(\frac{2}{3})^{x}=\frac{759}{64}$
$(\frac{2}{3})^{x}=\frac{3^{6}}{2^{6}}$
$(\frac{2}{3})^{x}=\frac{2^{-6}}{3^{-6}}$
$(\frac{2}{3})^{x}=(\frac{2}{3})^{-6}$
$(\not\frac{2}{3})^{x}=(\not\frac{2}{3})^{-6}$
$x=-6$