Question

log x по основанию 2/3 х + log 3 x=2

Answer 1

$log frac{2}{3}(x)+2log3( sqrt{x} )=2$
$log frac{2}{3}(x)+log3(x)=2$
$frac{1}{logx( frac{2}{3} )} + frac{1}{logx(3)}=2$
$frac{1}{logx( frac{2}{3}*3 )}=2$
$frac{1}{logx(2)}=2$
$log2(x)=2$
$x=4$

Answer 2

спасибо большое