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Mathematics 14 Online
OpenStudy (anonymous):

Please check Log problem.

OpenStudy (demandandsupply):

is it log(6x)^3y?

OpenStudy (anonymous):

without the ()

OpenStudy (anonymous):

log6+log(base 3)x+logy

OpenStudy (demandandsupply):

@jigglypuff314 send help

OpenStudy (demandandsupply):

Sorry mate im not sure on that...

OpenStudy (jdoe0001):

\(\large \bf Log_6(x^{3y})\quad ?\)

OpenStudy (mathstudent55):

Can you draw or use the equation editor?

OpenStudy (demandandsupply):

OH

OpenStudy (demandandsupply):

3log6x + logy ??

OpenStudy (jdoe0001):

\(\bf log(6x^3y)\implies log(6x^3)+log(y)\implies log(6)+log(x^3)+log(y)\\ \quad \\ \implies log(6)+3log(x)+log(y)\)

OpenStudy (jdoe0001):

\(\bf log\left(\sqrt{\cfrac{2rst}{5}}\right)\quad ?\)

OpenStudy (anonymous):

5w

OpenStudy (jdoe0001):

ohh right..

OpenStudy (jdoe0001):

\(\bf log\left(\sqrt{\cfrac{2rst}{5w}}\right)\implies log\left(\cfrac{2rst}{5w}\right)^{\frac{1}{2}}\implies \cfrac{1}{2}log\left(\cfrac{2rst}{5w}\right)\) then use the 2nd rule listed -> http://www.chilimath.com/algebra/advanced/log/images/rules%20of%20exponents.gif

OpenStudy (jdoe0001):

then use the 1st rule on all terms

OpenStudy (jdoe0001):

recall that \(\large \bf \sqrt[{\color{red} m}]{a^{\color{blue} n}}=a^{\frac{{\color{blue} n}}{{\color{red} m}}}\)

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

2log-logrst-logw^5

OpenStudy (mathstudent55):

\(=\dfrac{1}{2} \log 2rst - \dfrac{1}{2} \log 5w \)

OpenStudy (jdoe0001):

hmm well \(\bf log\left(\sqrt{\cfrac{2rst}{5w}}\right)\implies log\left(\cfrac{2rst}{5w}\right)^{\frac{1}{2}}\implies \cfrac{1}{2}log\left(\cfrac{2rst}{5w}\right)\\ \quad \\ \cfrac{1}{2}[log(2rst)-log(5w)]\implies \cfrac{1}{2}log(2rst)-\cfrac{1}{2}log(5w)\)

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