Question

Calcule o valor: Propriedades de Logaritmo

Answer 1

a) log3 (3 . 81)

log3 3 + log3 81 = 1 + 4 = 5 ←→
________

b) log2 (512/64)

log2 512 - log2 64

log2 2^9 - log2 2^6

9 . log2 2 - 6 . log2 2

9 . 1 - 6 . 1 = 9 - 6 = 3 ←←
_______

c) log2 (2 . 4 . 8 . 64)

log2 2 + log2 4 + log2 8 + log2 64

1 + log2 2^2 + log2 2^3 + log2 2^6

1 + 2log 2 2 + 3log2 2 + 6log2 2

1 + 2.1 + 3.1 + 6.1 = 1 + 2 + 3 + 6 = 12 ←←
_____

d) log7 ( 49 . 343 / 7 )

log7 ( 7^2 . 7^3 / 7)

log7 (7^5 / 7)

log7 7^5 - log7 7

5.log7 7 - log 7 7

5.1 - 1 = 5 - 1 = 4 ←←