Question 674687
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2\log_3(x)\ +\ \log_3(y)\ -\ log_3(z)]


Use


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \log_b(x^n)\ =\ n\log_b(x)]


to write:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \log_3\left(x^2\right)\ +\ \log_3(y)\ -\ \log_3(z)]


Then use "the sum of the logs is the log of the product":


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \log_3\left(x^2y\right)\ -\ \log_3(z)]


Then use "the difference of the logs is the log of the quotient"


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \log_3\left(\frac{x^2y}{z}\right)]


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
<font face="Math1" size="+2">Egw to Beta kai to Sigma</font>
My calculator said it, I believe it, that settles it
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