Предмет: Математика, автор: nastasysobol1

Решите уравнение
log³(2x+5)=2

Ответы

Автор ответа: skvrttt

$log_3(2x+5)=2$

ОДЗ:
$2x+5 textgreater 0\x textgreater -2,5$
x∈(–2,5; +∞)

По определению логарифма, $2x+5=3^2$ .
$2x=9-5\x=2$
Найденный корень уравнения удовлетворяет ОДЗ, потому является решением данного уравнения.

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