Express in terms of sums and differences of logarithms. logcubedrootxy^2 please help
solve\[\log2(x-3)+\log2(2x-10)=4\]
Is the problem \[\Large \log\left(\sqrt[3]{x}y^2\right)\] or Is the problem \[\Large \log\left(\sqrt[3]{xy^2}\right)\]
the second one. Yeah sorry i couldnt figure out how to type it this is the first time iv used this website. lol
\[\Large \log\left(\sqrt[3]{xy^2}\right)\] \[\Large \log\left((xy^2)^{\frac{1}{3}}\right)\] \[\Large \frac{1}{3}\log\left(xy^2\right)\] \[\Large \frac{1}{3}\left(\log(x) + \log(y^2)\right)\] \[\Large \frac{1}{3}\left(\log(x) + 2\log(y)\right)\] \[\Large \frac{1}{3}\log(x) + \frac{1}{3}*2\log(y)\] \[\Large \frac{1}{3}\log(x) + \frac{2}{3}\log(y)\]
THANK YOU SO MUCH
yw
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