Question

se log2b - log2a= 6, o quociente b/a, vale:.
(a) 10.
(b) 32.
(c) 25.
(d) 64.
(e) 128.

Answer 1

log2b - log2a= 6

log2 (b/a) = 6

(b/a) = 2^6

b/a = 64 ✓

Answer 2

se log2(b) - log2(a) = 6, o quociente b/a, vale:.

Explicação passo-a-passo:

log2(b) - log2(a) = log2(b/a) = 6

log(b/a) = 6log(2)

log(b/a) = log(2^6)

b/a = 2^6 = 64 (d)