In (3x-x) - in (x+5) = in5

Решение

In (3x-x) - ln (x+5) = ln5

In (3x-x) = ln (x+5) + ln5

ОДЗ: 3x - x > 0 x + 5 > 0

2x > 0 x > - 5

x > 0

x ∈ (0; + ∞)

In (3x-x) = ln (x+5) * 5

3x - x = (x+5) * 5

2x = 5x + 25

5x - 3x = - 25

2x = - 25

x = - 12,5 ∉ (0; + ∞)

Решений нет