Log3 (x-3)+log3x=log3 4

Question

Log3 (x-3)+log3x=log3 4

Answer 1

ОДЗ:
x > 3 

(x - 3) * x = 4 
x^2 - 3x - 4 = 0 
D = 9 + 16 = 25
x₁ = ( 3 + 5)/2 = 4;
x₂ = ( 3 - 5)/2 = - 1  не удовлет ОДЗ

Ответ:
4