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# Find the value of $$\Large 3-2log_{5}3$$

 A) $$\Large log_{5} \left(13\frac{8}{9}\right)$$ B) $$\Large log_{5}9$$ C) $$\Large log_{5} \left(\frac{9}{8}\right)$$ D) None of these

 A) $$\Large log_{5} \left(13\frac{8}{9}\right)$$

$$\Large 3-2log_{5}3=3log_{5}5-log_{5}3^{2}=log_{5}5^{3}-log_{5}9$$

=$$\Large log_{5}125-log_{5}9$$

=$$\Large log_{5} \left(\frac{125}{9}\right)=log_{5}13\frac{8}{9}$$

Part of solved Logarithms questions and answers : >> Elementary Mathematics >> Logarithms

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