Mathematics
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OpenStudy (anonymous):
What value of c solves the equation?
4power/c=1/16 c=
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OpenStudy (anonymous):
@Hero
OpenStudy (alekos):
4power/c doesn't mean anything
OpenStudy (anonymous):
4 to the power of c
OpenStudy (alekos):
Is this what you mean
\[4^{c} = \frac{ 1 }{ 16c }\]
OpenStudy (anonymous):
yes
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OpenStudy (anonymous):
wait but without the c on the 16
OpenStudy (thread252):
I think c=1/64
OpenStudy (alekos):
OK.
then what's another way of writing 1/16 ?
OpenStudy (anonymous):
I might have figured it out
4-4c=1/16-4 c=12 idk
OpenStudy (thread252):
life is so confusing
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OpenStudy (alekos):
No. Just answer my question
OpenStudy (anonymous):
just 16 ?
OpenStudy (alekos):
No way. How can 1/16 = 16 ?
OpenStudy (anonymous):
sorry I switched it
OpenStudy (anonymous):
0.0625
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OpenStudy (alekos):
so what's your answer?
OpenStudy (anonymous):
6.25 ?
OpenStudy (alekos):
OK. we're not really getting anywhere.
Lets try this whats another way of writing 16?
OpenStudy (anonymous):
wdym
OpenStudy (alekos):
what's the square root of 16?
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OpenStudy (anonymous):
4
OpenStudy (alekos):
OK, finally! So
\[4^{2} = ?\]
OpenStudy (anonymous):
16
OpenStudy (alekos):
Great!! and what about
\[\frac{ 1 }{ 4^{2} }\]
OpenStudy (anonymous):
0.0625
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OpenStudy (alekos):
No! keep it as fraction
OpenStudy (anonymous):
ohh 1/16
OpenStudy (alekos):
OK, so now whats another way of writing
\[\frac{ 1 }{ 4^{2} }\]
OpenStudy (anonymous):
1/16
OpenStudy (alekos):
We already did that.
\[\frac{ 1 }{ 16 } = \frac{ 1 }{ 4^{2} } = 4^{-2}\]
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OpenStudy (alekos):
so now we have
\[4^{c} = 4^{-2}\] OK?
OpenStudy (anonymous):
ok thanks
OpenStudy (alekos):
we haven't finished yet.
Can you see what c is equal to?