Question

Determine o valor de

Answer 1

Resposta:

Explicação passo a passo:

log 2 ∛64=

log 2 4=

2^x=4

2^x=2^2

x=2

log 8 1

8^y=1

8^y=8^0

y=0

log 4/3 27/64

(4/3)^w=27/64

(4/3)^w=(3/4)^3

(4/3)^w=(4/3)^-3

w=-3

E=log 2 ∛64 - log 8 1 +  log 4/3 27/64

E=2-0+ (-3)

E=2-3

E=-1

Answer 2

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{E = log_2\:\sqrt[3]{64} - log_8\:1 + log_{\frac{4}{3}}\:\dfrac{27}{64}}}$

$\mathsf{E = log_2\:2^{\frac{6}{3}} - log_8\:8^0 + log_{\frac{4}{3}}\:\left(\dfrac{4}{3}}\right)^{-3}}$

$\mathsf{E = 2 - 0 + (-3)}$

$\boxed{\boxed{\mathsf{E = -1}}}$