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OpenStudy (narissa):
OpenStudy (narissa):
@Will.H
OpenStudy (narissa):
help please
OpenStudy (mathmale):
First, rewrite both (1/3) and (81) as powers of 3. (1/3) = 3^?? 81 = 3^??
OpenStudy (narissa):
ok then?
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OpenStudy (narissa):
helloo
OpenStudy (mathmale):
You haven't responded.
Find the exponent of 3 that gives you (1/3).
Find the exponent of 3 that gives you 81.
Then re-write the original expression.
This alone may be enuf to help you solve this problem.
Sorry, but I have to get off the 'Net now.
OpenStudy (narissa):
3^1 right
OpenStudy (mathmale):
3^1=3, so no, that is not correct.
OpenStudy (mathmale):
(1/3) = 3^(??)
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OpenStudy (mathmale):
That's an important basic principle.
OpenStudy (narissa):
3^4=81
OpenStudy (mathmale):
\[a ^{-1}=\frac{ 1 }{ a }\]
OpenStudy (narissa):
ok im confused
OpenStudy (narissa):
is it d???
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OpenStudy (mathmale):
3^4=81. True.
Now replace (1/3) and 81 in the orig. equation . You may then be able to drop the base and solve for the unknown that way.
Sorry, but as I explained before, I need to get off the 'Net. You could check your own answer by substitution. Is the original statement correct?
OpenStudy (narissa):
@Seratul
OpenStudy (narissa):
@Will.H
OpenStudy (narissa):
@Jamierox4ev3r
OpenStudy (narissa):
@legomyego180
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OpenStudy (narissa):
@Will.H
OpenStudy (narissa):
@eliesaab
OpenStudy (unklerhaukus):
you have
\[(\tfrac13)^{d-5}=81\\
(3^x)^{d-5}=3^4\]
so
\[x(d-5) = 4\]
OpenStudy (unklerhaukus):
but what is the \(x\), that solves
\[\tfrac13 = 3^x\]?