The absolute value equation |4(x – 1)| = 12 has two solutions.
True
False
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OpenStudy (anonymous):
false
OpenStudy (anonymous):
true
OpenStudy (lgbasallote):
when you have \[| \; f(x) \; | = a\]
then there are automatically two solutions...
however.. if you have \[| \; f(x) \; | = -a\]
then there are no solutions
does that help?
OpenStudy (anonymous):
yep...
|4(x-1)|=12
4(x-1)=-12 x<0
4(x-1)=12 x>0
x-1=-3 or x-1=3
x=-2 or 4
OpenStudy (anonymous):
so its false :)
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OpenStudy (lgbasallote):
it's true...
OpenStudy (anonymous):
\[\log_{}\left| x \right| =2\]
how many solutions
OpenStudy (lgbasallote):
all three of us said true and you decided to go with the answer of the only one who said false lol
OpenStudy (anonymous):
oh gotcha :) sorry bout that :)
OpenStudy (anonymous):
it has only a single soln
since x cannot be -ve in case of log
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OpenStudy (anonymous):
@Jonask
OpenStudy (lgbasallote):
it can because of the absolute value
OpenStudy (anonymous):
I'm blonde lol
OpenStudy (lgbasallote):
that's why they put absolute value on logs...to denote that the argument can't be negative
OpenStudy (anonymous):
oh so x can have two hear but at the it becomes +
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