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Write as a difference....
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\[\log_{2} \frac{ \sqrt[3]{x^5y^4} }{ \sqrt{x^5y^3} }\]
\(\log_b\dfrac{a}{c} = \log_b(a) - \log_b(c)\)
Does the b matter??
What you see is what you get. That's the formula to write the log as a difference.
5/3logx + 4/3logy -5/2logx-3/2logy
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The b matters. You have to include that
How do I include it?
You should learn how to write Latex
\(\dfrac{5}{3}\log_2(x) + \dfrac{4}{3}\log_2(y) - \left(\dfrac{5}{2} \log_2(x) + \dfrac{3}{2} \log_2(y)\right)\)
`\(\dfrac{5}{3}\log_2(x) + \dfrac{4}{3}\log_2(y) - \left(\dfrac{5}{2} \log_2(x) + \dfrac{3}{2} \log_2(y)\right)\)`
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