Question

Logaritm in baza 4 din 16
Logaritm in baza 5 din 125
Va rog cat mai repede ....

Answer 1

$\log_{\big{4}}16 = x \Rightarrow 16 = 4^x \Rightarrow 4^2 = 4^x \Rightarrow \boxed{x = 2}\\ \\ \log_{\big5}125 = x \Rightarrow 125 = 5^x \Rightarrow 5^3 = 5^x \Rightarrow \boxed{x = 3}$

Answer 2

$log_{4}16 = \\ log_{4}4 {}^{2} = 2 log_{4}4 = 2 \\ log_{5}125 = log_{5}5 {}^{3 } = 3 log_{5}5 = 3$