Question

Se log 2= x e log 3= y, calcule log 375

Answer 1

Resposta:

375=3*125=3*5³

log 2=x

log 2 = log 10/5 =log 10 -log 5 = x  ==> log 5 = log 10-x =1-x

log 375 = log 3*5³ = log 3 + log 5³ = log 3 +3 log 5

= y +3*(1-x)  = y-3x+3  é a resposta