Matematicas

LOGARITMOS

1. Determina el valor de x:

a) [pic]
b) [pic]
c) [pic]
d) [pic]
e) [pic]
f) [pic]
g) [pic]
h) [pic]
i) [pic]
j) [pic]
k)[pic]
l) [pic]
m) [pic]
n) [pic]
o) [pic]
p) [pic]
q) [pic]
r) [pic]
s) [pic]
t) [pic]

2. Desarrolla aplicando las propiedades de loslogaritmos:

a) log (2ab)
b) [pic]
c) [pic]
d) [pic]
e) [pic]
f) [pic]
g) [pic]
h) [pic]
i) [pic]
j) [pic]
k) [pic]
l) [pic]
m) [pic]
n) [pic]
o)[pic]
p) [pic]
q) [pic]
r) [pic]
s) [pic]
t) [pic]
u) [pic]

3. Reduce a un solo logaritmo:

a) log a + log b
b) log x – log y
c) [pic]
d)log a – log x – log y
e) log p + log q – log r – log s
f) log 2 + log 3 + log 4
g) [pic]
h) [pic]
i) [pic]
j) log (a + b) + log (a – b)
k) [pic]l) log(a – b) – log 3
m) [pic]
n) [pic]

4. Si log 2 = 0,3; log 3 = 0,47; log 5 = 0,69 y log 7 = 0,84. Calcula:

a) log 4
b) log 6
c) log 27d) log 14
e) [pic]
f) [pic]
g) [pic]
h) log 3,5
i) [pic]
j) log 18 – log 16

5. Determina la alternativa correcta:

I) Si log b = x,entonces log 100b =

a) 100 + x b) 100x c) 2x d) 2 + x e) x2

II) log x = y, entonces [pic]=

a) [pic]b) 2y c) [pic] d) [pic] e) y2

III) Si [pic], entonces x =

a) log b – log a b) [pic]c) [pic] d) [pic] e) [pic]

IV) 2 – log a =

a) [pic] b) [pic] c) [pic] d) log a e) [pic]