Question

02. log5v5 5 is equal to​

Answer 1

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$log_{5 \sqrt{5} }(5) \\ = log_{5 \sqrt{5} } (\sqrt{5} ) {}^{2} \\ = 2 log_{5 \sqrt{5} }( \sqrt{5} ) \\ = 2 \times \frac{1}{ log_{ \sqrt{5} }(5 \sqrt{5} ) } \\ = 2 \times \frac{1}{ log_{ \sqrt{5} }( \sqrt{5} ) {}^{3} } \\ = 2 \times \frac{1}{3 log_{ \sqrt{5} }( \sqrt{5} ) } \\ = \frac{2}{3}$

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