Question

Se log 2 = a e log 3 = b, calcule log 20.
a)     a + 1
b)     b +1 
c)     a + b
d)     2a + b
e)     a + 2b
​

Answer 1

Olá, siga a explicação:

$\large {\boxed {\sf log ~ 2 = a , ~ log ~ 3 = b }} \\ \\\large {\boxed { \sf log ~20 = \log \left ( 2 \centerdot 2 \centerdot 5 \right ) }} \\ \\\large {\boxed {\sf 2 \centerdot log ~ 2 + log ~ \cfrac{10}{2} = 2 \centerdot log ~ 2 + log ~ 10 - log ~ 2 }} \\ \\\large {\boxed {\sf 2 \centerdot a + 1 -a \longrightarrow \boxed {\boxed {\sf \red { log ~20 = a+1}}}}}$

• Att. MatiasHP

LETRA A)