Question

$log_{5}(35) - log_{5}( \frac{14}{250} )$

Answer 1

se aplica formula :
log in baz a din b- log in baza a din c= loginbaza a din (b:c)

Answer 2

$\log_{5}(35)-\log_{5}(\frac{14}{250})=\\ \\ =\log_{5}(35:\frac{14}{250})=\\ \\ =\log_{5}(35 \cdot \frac{250}{14})=\\ \\ =\log_{5}(35 \cdot \frac{125}{7})=\\ \\ =\log_{5}(5 \cdot 125)=\\ \\ =\log_{5}(5^{4})=\\ \\ =4\log_{5}(5)=\\ \\ =4$