Question

sabendo que log 2 =0,3010 e log 3 = 0,4771, calcule

a) log 54 =

b) log 24 =

me ajudem??

Answer 1

Propriedades :

log(a.b) = loga + logb

log aⁿ = n . log a

a)  log 54:

log 54 = log 27.2

log 54 = log 27 + log 2

log 54 = log 3³ + log 2

log 54 = 3log 3 + log 2

log 54 = 3.0,4771 + 0,3010

log 54 = 1,4313 + 0,301 = 1,7323

b)log 24 :

log 24 = log 8.3

log 24 = log 8 + log 3

log 24 = log 2³ + log 3

log 24 = 3log 2 + log 3

log 24 = 3.0,301 + 0,4771 = 0,903 + 0,4771 = 1,3801