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= log 1000 - log 4
= log 10³ - log 2²
= 3 log 10 - 2 log 2 Nota: log 10 = 1
= 3(1) - 2(0,301)
= 3 - 0,602 = 2,398
b) log 5,4 = log
= log 54 - log 10
= log 2x3³ - log 10
= log 2 + 3 log 3 - log 10
= 0,301 + 3(0,477) - 1
= 0,301 + 1,431 - 1 = 0,732
c) log = log 3
= log 3 + 1/2 log 2
= 0,477 + 1/2 (0,301)
= 0,477 + 0,1505 = 0,6275
d) log 270 = log 3³.10
= 3 log 3 + log 10
= 3(0,477) + 1
= 1,431 + 1 = 2,431
e) log 45 = log
= log 90 - log 2
= log 3².10 - log 2
= 2log 3 + log 10 - log 2
= 2(0,477) + 1 - 0,301
= 0,954 + 1 - 0,301 = 1,653
f) log = log
= 1/6 log (1/6)
= 1/6 (log 1 - log 6)
= 1/6 (log 1 - log 2.3)
= 1/6 (log 1 - (log 2 + log 3))
= 1/6 (log 1 - log 2 - log 3) Nota: log 1 = 0
= 1/6 ( 0 - 0,301 - 0,477)
= 1/6 (- 0,778) = -0,1297