Question

Se log 2 = x e log 3 = y entao log 225 é igual a:
A) y+3x
B) y-3x+3
C) 2(y-x+1)
D) 3(y+3)
E) y-x+3

Answer 1

log 2 = x e log 3 = y entao log 225



log 225

log(3².5²) = log3² + log5² 

2log3 + 2log5 

2(log3 + log5)

2(log3 + log10/2)

2(log3 + log10 - log2)

2(y - x + 1)

letra C

225 3
75   3
25   5
 5    5
 1