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OpenStudy (anonymous):
Algebra 2 help? I give medals. :) 64^(4-x) = 4^2(x)
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OpenStudy (anonymous):
\[64^{4-x} = 4^{2x}\]
I have it reduced to\[64^{4-x} = 16^{x}\]
What do I do from here?
OpenStudy (anonymous):
make base of both side same
OpenStudy (anonymous):
64=4^3
16=4^2
OpenStudy (anonymous):
if base is same and both sides are equal than their powers will also be equal
OpenStudy (anonymous):
I don't understand
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OpenStudy (anonymous):
I need to solve for x
OpenStudy (anonymous):
4^(3*(4-x))=4^(2x)
both side have same base=4
they will be equal only if their power are equal
so equate the power of both sides
OpenStudy (anonymous):
Oh, alright. Now what do I do to solve for x?
OpenStudy (anonymous):
@g17
OpenStudy (anonymous):
can u tell me power on both the side ??
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OpenStudy (anonymous):
4^(12-3x) = 4^2x?
OpenStudy (anonymous):
only powers loll
OpenStudy (anonymous):
that is
(12-3x) and 2x
now equate them
12-3x=2x
OpenStudy (anonymous):
12-3x and 2x?
OpenStudy (anonymous):
So 12=5x?
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OpenStudy (anonymous):
Divide by 5 on both sides?
OpenStudy (anonymous):
yeah loll
and u got concept of the Q how we solved it ???
OpenStudy (anonymous):
Yes, I understand now. :) Can you help me with another question?
OpenStudy (anonymous):
just post it lolll
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