Question

Qual a resposta do Log 432
sabendo que os dados sao Log 2 : 0,3 e log 3:0,4 calcule

Answer 1

Decompondo 432 = 2.2.2.2.3.3.3 = 2^4.3^3

$log(2^4.3^3)=log2^4+log3^3=4log2+3log3=4.0,3+3.0,4=\\1,2+1,2=2,4$

Answer 2

Olá Luuhsgatta

log(2) = 0.30
log(3) = 0.48 

432:2
216:2
108:2
  54:2
  27:3
    9:3
    3:3
    1

log(432) = 4log(2) + 3log(3) 
log(432) = 4*0.30 + 3*0.48 = 1.20 + 1.44 = 2.64