Question

Cum pot afla x in functie de a si b in urmatoare ecuatie:
$\frac{a}{b}$ = $\frac{2^{x} }{3^{x} }$

Answer 1

$\frac{a}{b} =(\frac{2}{3} )^{x}$

Logaritmam in baza 2/3 si =>

$log_{\frac{2}{3} } (\frac{a}{b} )=log_{\frac{2}{3} } (\frac{2}{3} )^{x} =x$

deci x=$log_{\frac{2}{3} } (\frac{a}{b} )$