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write each expression as a single logarithm in simplest form.  state any restrictions on the variable.

Guest Apr 14, 2017
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write each expression as a single logarithm in simplest form. state any restrictions on the variable.

 

\(log_3\frac{\sqrt{x}}{x}+log_3\sqrt[5]{x^2}+\frac{3}{2}log_3x\)

 

\(=log_3\frac{\sqrt{x}\cdot \sqrt[5]{x^2}\cdot \sqrt{x^3}}{x}\)

 

\(=log_3(x^{\frac{1}{2}+\frac{2}{5}+\frac{3}{2}-1})\) 

 

 

\(=log_3(x^{1.4})\)

 

\(=1.4\times log_3(x)\)

 

laugh  !

asinus  Apr 15, 2017

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