Question

5^log27 по основанию 125

Answer 1

$5^{log_{125}27}=5^{log_{5^3}27}=5^{ \frac{1}{3} log_{5}27}= \\ =5^{ log_{5}27^{\frac{1}{3} }}=5^{ log_{5}3^{\frac{3}{3} }}=5^{ log_{5}3}=3$