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Mathematics 21 Online
OpenStudy (anonymous):

Condensing Logarithms

OpenStudy (anonymous):

the equation is number 20 http://www.luminpdf.com/files/1476787/Unit%207%20Summer%20Work.pdf

Parth (parthkohli):

The link looks broken.

OpenStudy (sheraz12345):

Link not working

OpenStudy (anonymous):

Parth (parthkohli):

Same denominator, add the numerators first.

OpenStudy (anonymous):

\[\log_{9}uvw \] ?

OpenStudy (anonymous):

over 3

Parth (parthkohli):

That's right. Now, you have\[\large \dfrac{\log_9 uvw}{3} = \dfrac{\log_9 uvw}{\log_9 {9^3}}= \log_{9^3}{uvw}\]Do you follow?

OpenStudy (anonymous):

thanks

OpenStudy (anonymous):

that answer isn't one of the options

Parth (parthkohli):

Never mind that one. I have a better method.\[\large\dfrac{ \log_9{uvw}}{3} = \dfrac{1}{3}\log_9(uvw) = \log_9{\left(\left(uvw\right)^{1/3}\right)}\]

OpenStudy (anonymous):

so the answer is \[\log_{9} \sqrt[3]{wvu}\]

Parth (parthkohli):

indeed.

OpenStudy (anonymous):

Thank you

Parth (parthkohli):

No problem.

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