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kirillchuyckow
@kirillchuyckow
July 2022
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Помогите решить уравнение...
log6 (x+1) + log6 (2x+1)=1
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mmb1
Verified answer
log6 (x+1) + log6 (2x+1)=1
x+1>0
x>-1
2x+1>1
x>-1/2
log6 (x+1)(2x+1)=1
()x+1)(2x+1)=6
2x^2+x+2x+1=6
2x^2+3x-5=0
x12=(-3+-корень(9+40))/4=(-5+-7)/4=-3 1/2
-3 не подходит
х=1/2
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kirillchuyckow
последние 3 строчки не могу понять...
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Answers & Comments
Verified answer
log6 (x+1) + log6 (2x+1)=1x+1>0
x>-1
2x+1>1
x>-1/2
log6 (x+1)(2x+1)=1
()x+1)(2x+1)=6
2x^2+x+2x+1=6
2x^2+3x-5=0
x12=(-3+-корень(9+40))/4=(-5+-7)/4=-3 1/2
-3 не подходит
х=1/2