Question

$log2(4+x)=log2(2-x)+2$

Answer 1

log2(4+x)=log2(2-x) + log2(4)
log2(4+x)=log2(4*(2-x))
4+x=4*(2-x)
5x=4
x=0.8

Answer 2

$log_2(4+x)=log_2(2-x)+2\ log_2(4+x)-log_2(2-x)=2\ log_2frac{4+x}{2-x}=2\ frac{4+x}{2-x}=2^2\ frac{4+x}{2-x}=4 |*(2-x)\ 4+x=4(2-x)\ 4+x=8-4x\ x+4x=8-4\ 5x=4\ x=4:5\ x=0.8$

Ответ: 0,8