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log3((x)(sqrt(y)))

 Mar 2, 2017
 #1
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log3((x)(sqrt(y)))

 

=\(\sqrt{y} log(x)/log(3)\)

 Mar 2, 2017
 #2
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log3((x)(sqrt(y)))

 

\(log_3(x\sqrt y)\\ =log_3x+\log_3\sqrt y\\ =log_3x+\log_3(y)^{1/2}\\ =log_3x+\frac{\log_3(y)}{2}\\ =\frac{2logx}{2log3}+\frac{logy}{2log3}\\ =\frac{2logx+logy}{2log3}\)

 Mar 3, 2017

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