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

Correct Answer:
A) \( \Large log_{5} \left(13\frac{8}{9}\right) \)

Description for Correct answer:
\( \Large 3-2log_{5}3=3log_{5}5-log_{5}3^{2}=log_{5}5^{3}-log_{5}9 \)

=\( \Large log_{5}125-log_{5}9 \)

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

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








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