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OpenStudy (anonymous):
if y^8=4 and y^7=3/x, what is the value of y in terms of x?
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OpenStudy (anonymous):
not sure what " what is the value of y in terms of x?" means
OpenStudy (anonymous):
if \(y^8=4\) then
\(y=\sqrt[8]{4}\) or \(y=-\sqrt[8]{4}\)
OpenStudy (anonymous):
only a choice of two number
OpenStudy (anonymous):
we have to find y like these are the answer choices:
a. 4x/3
b. 3x/4
c. 4/x
d. x/4
e. 12/x
OpenStudy (anonymous):
there must be a typo somewhere in the problem
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OpenStudy (anonymous):
why? what do u mean?
OpenStudy (anonymous):
if \(y^7=\frac{3}{x}\) then
\[y=\sqrt[7]{\frac{3}{x}}\]
OpenStudy (anonymous):
im not really sure how to do this but i checked the answer and it says that the answer is 4x/3
OpenStudy (anonymous):
maybe we can try this
\[y^8=4, y^7=\frac{3}{x}\] and \[y^8=y^7\times y\] so
\[y^8=y^7\times y\implies 4=y^7\times y\implies 4=\frac{x}{3}y\]
OpenStudy (anonymous):
typo there sorry
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OpenStudy (anonymous):
\[y^8=y^7\times y\implies 4=y^7\times y\implies 4=\frac{3}{x}y\]
OpenStudy (anonymous):
its ok :)
OpenStudy (anonymous):
then solve for \(y\)
OpenStudy (anonymous):
ok :) i got it thanks a lot :)
OpenStudy (anonymous):
yw
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