1. PROPIEDADES DE LOS LOGARITMOS
𝐈. logb(1) = 0
𝐈𝐈. logb(b) = 1
𝐈𝐈𝐈. blogb(M)
= M
𝐈𝐕. logb(bM) = M
𝐕. logb(MN) = logb(M) + logb(N)
𝐕𝐈. logb (
M
N
) = logb(M) − logb(N)
𝐕𝐈𝐈. logb (
1
N
) = − logb(N)
𝐕𝐈𝐈𝐈. logb(Mp) = p. logb(M)
𝐈𝐗. logb(M) =
loga(M)
loga(b)
𝐗. logb( √x
n
) =
1
n
logb(x)
𝐗𝐈. logb(x) = log √b
n (√x
n
) = logbm (xm)
𝐗𝐈𝐈. logbn (xm) =
m
n
logb(x)
𝐗𝐈𝐈𝐈. logb(a) ∙ logc(b) ∙ logd(c) = logd(a)
𝐗𝐈𝐕. alogb(c)
= clogb(a)
𝐗𝐕. logbm (bn) =
n
m
𝐗𝐕𝐈. logb(a) =
1
loga(b)