Question

Evaluate Log 243/3125 base 3/5

Answer 1

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Answer 2

$log_{ \frac{3}{5} }( \frac{243}{3125} ) \\ = log_{ \frac{3}{5} }( \frac{ {3}^{5} }{ {5}^{5} } ) \\ = log_{ \frac{3}{5} }( { (\frac{3}{5} )}^{5} ) \\ = 5$
so answer is 5.