1)log(x²-15x+15)=0 denkleminin kökleri x₁ ve x₂dir. Buna göre x₁²+ x₂² toplamı kaçtır ?( 151-169-191-197-202)
2)4logx-logy=2
logx-4logy=3 olduğuna göre x/y =? (1/10 -1-4-10-40)
3)
4)
5)
2)4logx-logy=2
logx-4logy=3 olduğuna göre x/y =? (1/10 -1-4-10-40)
3)
4)
5)
1)
log(x²-15x+15)=0
x²-15x+15=1
x²-15x+14=0
(x-14).(x-1)=0
x₁=14
x₂=1
x₁²+ x₂²=196+1=197
2)
4logx-logy=2
logx-4logy=3
___________+
5logx-5logy=5
5(logx/y)=5
logx/y=1
x/y=10
3)
4)
5)
log(5/3)x+log(4/5)y=4
x.log(5/3)+y.log(4/5)=4
log(25/2)y+log(3/5)x=6
y.log(25/2)+x.log(3/5)=6
__________________________+
x.log[(5/3).(3/5)]+y.log[(25/2).(4/5)]=10
y.log10=10
y=10
log(x²-15x+15)=0
x²-15x+15=1
x²-15x+14=0
(x-14).(x-1)=0
x₁=14
x₂=1
x₁²+ x₂²=196+1=197
2)
4logx-logy=2
logx-4logy=3
___________+
5logx-5logy=5
5(logx/y)=5
logx/y=1
x/y=10
3)
4)
5)
log(5/3)x+log(4/5)y=4
x.log(5/3)+y.log(4/5)=4
log(25/2)y+log(3/5)x=6
y.log(25/2)+x.log(3/5)=6
__________________________+
x.log[(5/3).(3/5)]+y.log[(25/2).(4/5)]=10
y.log10=10
y=10
çok teşekkürler
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