Question

log3(2x-1)-log3x=0

Answer 1

$log_{3} (2x-1)- log_{3} x=0$

ОДЗ:
$left { {{2x-1 textgreater 0} atop {x textgreater 0}} right.$

$left { {{x textgreater 0.5} atop {x textgreater 0}} right.$

$x$ ∈ $(0.5;+$ ∞ $)$

$log_{3} (2x-1)= log_{3} x$

$2x-1=x$

$2x-x=1$

$x=1$

Ответ:  $1$