Question

Решите и Объясните пошагово ПОЖАЛУЙСТА!

1)y=log3(4x+5)

2)log3(x+1)-log(x-1)=1

3)2cos(x+π/4)=1​

Answer 1

Ответ:

$2 cos(x + \frac{\pi}{4} ) = 1 \\ \cos(x + \ \frac{\pi}{4} ) = 1 \\ x + \frac{\pi}{4} = + - \frac{\pi}{3} + 2\pi \: k \\ x = + - \frac{\pi}{3} - \frac{\pi}{4} + 2\pi \: k \\ x = \frac{\pi}{12} + 2\pi \: k$