Question

log in baza 2 din 3 - log in baza 2din 3/2=?​

Answer 1

Răspuns:

log₂3-log₂3/2=

log₂3-(log₂3-log₂2)=

log₂3-log₂3+1=

0+1=1

Explicație pas cu pas:

Answer 2

$\log_23-\log_2 \frac{3}{2}=\\ \\=\log_2 \frac{3}{\frac{3}{2}}=\\ \\=\log_2( \frac{3}{1}\cdot \frac{2}{3})=\\ \\=\log_2 2=1\\ \\ \\ \\ FORMULE:\\ \\ \boxed{\log_a b-\log_a c=\log_a \frac{b}{c}}\\ \\ \boxed{\log_a a=1}$