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Jamierox4ev3r
 one year ago
Rewrite the following log expression using the law of logarithms. Your final answer should have no exponents and many logs.
Jamierox4ev3r
 one year ago
Rewrite the following log expression using the law of logarithms. Your final answer should have no exponents and many logs.

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Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0\(\huge\log \left( \frac{ x^{7} }{ \sqrt[3]{y^{2}z^{5}} } \right)\)

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0I believe I have this one figured out, but I'm not sure, so I'll post my work and final answer

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0\(\huge\log \left( \frac{ x^{7} }{ \sqrt[3]{y^{2}z^{5}} } \right)\) \(\Large\log x^{7}  \log \sqrt[3]{y^{2}z^{5}}\) \(\Large 7\log x  \log (y^{2}z^{5})^{\frac{1}{3}}\) \(\Large 7\log x  \log (y^{\frac{2}{3}} z^{\frac{5}{3}})\) \(\Large 7\log x  \log y^{\frac{2}{3}} + \log z^{\frac{5}{3}}\) \(\Huge 7\log x  \frac{2}{3}\log y + \frac{5}{3}\log z\) ^^ I believe that is my final answer. Someone please let me know if I'm right, or if I'm not, tell me where I went wrong. Thanks in advance.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0there's mistake in one sign.. check it..

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0sign? you mean a discrepancy for whether something is positive or negative?

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0Hmm...I think you may be talking about the 4/5 step, where I expanded the parentheses. but isn't it a rule that states this? log(MN) = logM + logN? Therefore, I don't see any error in my process there; at least, I don't think I see an error there.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you stated right but check this ( log MN) = log M log N if you agree then check again that step

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0Oh. So you believe that the negative sign distributes into the parentheses?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I dont believe.. its maths :P

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0lol whoops, wrong way of phrasing that. But I see what you mean, and thanks

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0\(\Huge 7\log x  \frac{2}{3}\log y  \frac{5}{3}\log z\) ^^ That should be the final answer then, if I'm not mistaken

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0Awesome, I get it. Thank you ^_^
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