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Mathematics 7 Online
OpenStudy (anonymous):

Write as a difference....

OpenStudy (anonymous):

\[\log_{2} \frac{ \sqrt[3]{x^5y^4} }{ \sqrt{x^5y^3} }\]

hero (hero):

\(\log_b\dfrac{a}{c} = \log_b(a) - \log_b(c)\)

OpenStudy (anonymous):

Does the b matter??

hero (hero):

What you see is what you get. That's the formula to write the log as a difference.

OpenStudy (anonymous):

5/3logx + 4/3logy -5/2logx-3/2logy

hero (hero):

The b matters. You have to include that

OpenStudy (anonymous):

How do I include it?

hero (hero):

You should learn how to write Latex

hero (hero):

\(\dfrac{5}{3}\log_2(x) + \dfrac{4}{3}\log_2(y) - \left(\dfrac{5}{2} \log_2(x) + \dfrac{3}{2} \log_2(y)\right)\)

hero (hero):

`\(\dfrac{5}{3}\log_2(x) + \dfrac{4}{3}\log_2(y) - \left(\dfrac{5}{2} \log_2(x) + \dfrac{3}{2} \log_2(y)\right)\)`

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