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Mathematics 23 Online
OpenStudy (narissa):

help

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?

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^(??)

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???

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

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 \[\tfrac13 = 3^x\]?

OpenStudy (eliesaab):

\[ \left ( \frac 1 3 \right)^{-4}=81\\ d-5=-4\\ -d+5=4 \]

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