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Mathematics 7 Online
OpenStudy (anonymous):

round 2...

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...

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):

\[(3^{2})^{x}=3^{-10.7}\]

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.

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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