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katakitokasan
@katakitokasan
May 2021
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Решите пожалуйста уравнение
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ribinaolga
Log[144](9-4x)=2
1/log[9-4x]144=1
ОДЗ 9-4x>0 -4x>-9 x<9/4; log[144](9-4x)≠0 9-4x≠1 -4x≠-8 x≠2
2log[144](9-4x)=1
2log[12^2](9-4x)=1
(2*1/2)log[12](9-4x)=1
log[12](9-4x)=1
log[12](9-4x)=log[12]12
9-4x=12
-4x=3
x=-3/4 ? удовлетворяет ОДЗ
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Answers & Comments
1/log[9-4x]144=1
ОДЗ 9-4x>0 -4x>-9 x<9/4; log[144](9-4x)≠0 9-4x≠1 -4x≠-8 x≠2
2log[144](9-4x)=1
2log[12^2](9-4x)=1
(2*1/2)log[12](9-4x)=1
log[12](9-4x)=1
log[12](9-4x)=log[12]12
9-4x=12
-4x=3
x=-3/4 ? удовлетворяет ОДЗ