Question

DETERMINE C EM :

a-  log 8 na base 2 = c 

b-  log 4 na base 2  = c

c-  log 13 na base 13 = c 

d-  log 1 na base 5 = c 

e-  log 4 na base 4 ^3 = c 

f-  log  1 na base 5 =  c 

Answer 1

Olá, Jacque.

$a)\,\log_28=\log_22^3=3\log_22=3\cdot1=3 \\\\ b)\,\log_24=\log_22^2=2\log_22=2\cdot1=2 \\\\ c)\,\log_{13}13 = 1 \\\\ d)\,\log_51=0,\text{ pois }5^0=1 \\\\ e)\,\log_{4^3}4 = \frac1{\log_{4}4^3}=\frac1{3\log_44}=\frac1{3\cdot1}=\frac13 \\\\ f)\,\text{idem letra "d"}$