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Mathematics 15 Online
OpenStudy (anonymous):

Help with logs!:///

OpenStudy (anonymous):

Use axe

OpenStudy (anonymous):

rewrite sum or difference of multiples \[\ln(\sqrt[3]{xy}/t ^{4/3})\]

OpenStudy (anonymous):

Axe is built with \[ \begin{bmatrix} wood&wood&-\\ wood&stick&-\\ -&stick&- \end{bmatrix} \]

OpenStudy (anonymous):

Do you know the properties of logarithms?

OpenStudy (anonymous):

yes.

OpenStudy (anonymous):

\[ \ln(\sqrt[3]{xy}/t ^{4/3}) = \ln(\sqrt[3]{xy})-\ln(t ^{4/3}) \]

OpenStudy (anonymous):

Just keep going.

OpenStudy (unklerhaukus):

\[\boxed{\ln x=\log_ex}\]\[\boxed{\log_bxy=\log_b x+\log_by}\]\[\boxed{\log_b\tfrac xy=\log_b x-\log_by}\]\[\boxed{n\log_b x=\log_bx^n}\]

OpenStudy (anonymous):

Thanksguys, what about if it is like write as a single logarithum \[\frac{ 5 }{ 6 }\log _{2}(x)+\frac{ 2 }{ 3}\log _{2}(y)-\frac{ 1 }{ 2}\log _{2}(x)-\log _{2}(y)\]

OpenStudy (unklerhaukus):

well the bases are all the same , thats good, now get the coefficients into the indexes use\[\boxed{n\log_b x=\log_bx^n}\]

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