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freesomebody
@freesomebody
August 2022
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решить лог. уравнения: №19, №31
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mathgenius
19)
Log^2(2;x)+3=2log(2;x^2)
log^2(2;x)+3=4log(2;x)
log(2;x)=t
t^2-4t+3=0
t1=1 t2=3
1) log(2;x)=1
x1=2
2) log(2;x)=3
x2=8.
32) x^(log(2;x) +2)=8
2^( (log(2;x)*(log(2;x)+2) )=8
log(2;x)*(log(2;x)+2)=3
log(2;x)=t
t*(t+2)=3
t^2+2t-3=0
t1=1 ,t2=-3
1) log(2;x)=1
x1=2
2)log(2;x)=-3
x2=2^(-3)=1/8
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Answers & Comments
Log^2(2;x)+3=2log(2;x^2)
log^2(2;x)+3=4log(2;x)
log(2;x)=t
t^2-4t+3=0
t1=1 t2=3
1) log(2;x)=1
x1=2
2) log(2;x)=3
x2=8.
32) x^(log(2;x) +2)=8
2^( (log(2;x)*(log(2;x)+2) )=8
log(2;x)*(log(2;x)+2)=3
log(2;x)=t
t*(t+2)=3
t^2+2t-3=0
t1=1 ,t2=-3
1) log(2;x)=1
x1=2
2)log(2;x)=-3
x2=2^(-3)=1/8