Question

sendo a na base b =4 e log c na base b =1 encontre o valor de log (√a.c) na base b

Answer 1

 Aqui basta usar as propriedades.... ln(ab) = lna + lnb e ln(a/b) = lna - lnb e lna^k = klna 

1) Log(a*c) = loga + logc = 4 + 1 = 5 Pronto. 

2) a) log(a*b*c) = loga + logb + logc = 5 + 2 -1 = 6 Pronto. 

b) log(a^2*b^3) /c^2) = 2loga + 3logb - 2logc = 10 + 6 +2 = 18 Pronto!