Решите логарифмическое уравнение

И сделайте проверку

Log1/2 (2x+5) - log1/2 (13) = log1/2 (5)

Log1/2 (2x+5) - log1/2 (13) = log1/2 (5);

log (1/2) ((2x+5) / 13) = log (1/2) 5;

(2x+5) / 13=5;

2x+5=65;

2x=60;

x=30.

Проверка:

log (1/2) (2*30+5) - log (1/2) 13=log (1/2) 5;

log (1/2) (65/13) = log (1/2) 5;

log (1/2) 5=log (1/2) 5.