Question

log4(x^2+x)=log 4(x^2+9)

Answer 1

{х² + х = х² + 9,
{x² + x > 0,

{x = 9,
{[x < -1,
{[x > 0,

Ответ: 9.

Answer 2

$log_4(x^2+x)=log_4(x^2+9)$
ОДЗ:
$left { {{x^2+x textgreater 0} atop {x^2+9 textgreater 0}} right. ~~~ left { {{x(x+1) textgreater 0} atop {x^2+9 textgreater 0}} right. ~~~xin(-infty;-1) text{ U }(0;+infty)$

Решение:
$log_4(x^2+x)=log_4(x^2+9) \ x^2+x=x^2+9 \ x=9$

Ответ: 9