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Mathematics
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OpenStudy (anonymous):
round 2...
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OpenStudy (anonymous):
OpenStudy (mertsj):
-10.7
OpenStudy (anonymous):
unfortunately... didn't work.
OpenStudy (mertsj):
Can you try again?
OpenStudy (anonymous):
i have no idea how you got that far in the first place...
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OpenStudy (mertsj):
\[\log_{9}u=2.5 \]
\[9^{2.5}=u\]
\[(3^2)^{2.5}=u\]
\[3^{7.5}=u\]
OpenStudy (mertsj):
\[\log_{9}v=7.6 \]
\[9^{7.6}=v\]
\[(3^2)^{7.6}=v\]
\[3^{15.2}=v\]
OpenStudy (mertsj):
\[\log_{9}\frac{u}{27v}=\log_{9}\frac{3^{7.5}}{3^3(3^{15.2})} =\log_{9}(3^{-10.7)}=x\]
OpenStudy (mertsj):
\[9^x=3^{-10.7}\]
OpenStudy (mertsj):
\[(3^{2})^{x}=3^{-10.7}\]
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OpenStudy (mertsj):
\[3^{2x}=3^{-10.7}\]
OpenStudy (mertsj):
\[2x=-10.7\]
\[x=-5.35\]
OpenStudy (mertsj):
Can you try that or do you get another chance?
OpenStudy (anonymous):
i have unlimited chances haha, still didn't work out though
OpenStudy (mertsj):
Try -6.6. I found a mistake.
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OpenStudy (anonymous):
well, nice job. you found your mistake. I'd would attempt some of these myself but my professor gave us hw before break without teaching us...
OpenStudy (mertsj):
So it worked?
OpenStudy (anonymous):
yes sir, you seem surprised? haha
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