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а)1)x^2-(x^2-16)=2x ;2) x^2-x^2+16=2x ; 3)16=2x; 4)x=16÷2=8 Отв:8. б)1)9y^2+6y+1-9(y^2-1)=8y-16; 2)6y+10=8y-16; 3)-2y+26=0; 4)y-13=0; y=13 ; Отв:13
Log₃81-lne+lg1000=4-1+3=6
8log₇2/(log₃99)*log₇2=8/(2+log₃11)
2. 2ˣ=z z²-3z+2 =0 z1=1 z2=2
2ˣ=1 x1=0 2ˣ=2 x2=1
log₂x+3log₂x=4log₂x=8 log₂x=2 x=4
3. 3ˣ=z 9z-6z+z<12 6z<12 0<z<2
log₁/₂ x=z z²+3z-4≤0 z1=-4 z2=1 log₁/₂ x=-4 x=16
log₁/₂ x=0 x∈[0;16]