Question

Aplicando a definição, calcule o valor dos logaritmos:
a) log√8 4
b)log49 3√7
c)log2 0,25
d)log2 8√64

Answer 1

a) log√8 4 =log 4 /log √8  =log 2² /log 2^(1/3) =

=2 * log 2  / (1/3)* log 2  =2/(1/3)=6

b)log49 ∛7 = log ∛7  /  log49  =log 7^(1/3) / log 7²

(1/3)/2 =2/3

c)log2 0,25 =log2  (1/4)   = log (1/4) / log 2

=log 2^(-2) / log 2  =-2

d)log2 8√64 = log2 64^(1/8)

=lo2 2^(6/8)  = 6/8 =3/4