4log₂x+log₂(y+1)=6 log₂x⁴+log₂(y+1)=6 log₂(x⁴*(y+1))=6
log₂x+log₂(y+1)=2 log₂(x*(y+1))=2 log₂(x*(y+1))=log₂2²
log₂(x⁴(y+1))=log₂2⁶ ОДЗ: x⁴(y+1)>0 x⁴>0 x>0
log₂(x(y+1)=log₂4 x(y+1)>0 x<0<br> x>0 x>0
y+1>0 y>-1
x∈(0;+∞) y∈(-1;+∞)
x⁴(y+1)=2⁶ x⁴(y+1)=64 x⁴*(4/x)=64 4x³=64 x³=16 x=2∛2
x(y+1)=4 y+1=4/x
y+1=4/(2∛2) y=2/∛2-1