Question

Dados log 2=0,30 log 3=0,48 log 5=0,70 determine a)log 120 b)log 90 c)54

Answer 1

Resposta:

* log 120 = log (5.24) = log 5 + log 24 =>

log 5 = 0,7 ; log 24 = log(3.8) = log 3 + log 8 (log 8 = 3 . log2)

log 120 = 0,7 + 0,48 + 3. 0,30= 2,08

* log 90 = log (9.10) => log 9 + log 10

log 9=> 2.log 3=0,96 + log 10 = 1 => log 90 = 1,96

* log 54 =log (2.27) => log 2 + log 27

log2 = 0,30 + log 27 = 3.log 3= 1,44=>

1,44+0,30= 1,74

Resp= a)2,08 ; b)1,96 ; c)1,74