Matematica Ii

FUNCIÓN EXPONENCIAL Y LOGARÍTMICA




1. Determina el valor de x en las siguientes ecuaciones exponenciales:

i. ax - a7 = 0
ii. a2x = a8
iii. ax+3 - a8 = 0
iv. ax-5 = a
v.b7-x = b3
vi. b3-x = b6
vii. 3x = 1
viii. 2x-1 = 1
ix. 43-x = 4
x. p5-x = p
xi. qx+1 = q
xii. m8x-5 = m5x+7
xiii. cx · cx-3 = c9
xiv. m3x = m18
xv. a5x-3 =a14+5x · a8x+7
xvi. bx-1 · bx+1 = b8
xvii. (m5)x = m15
xviii. (ax-1)x-7 = (ax+1)x+3
xix. (a5x+1)5 = (a7x-1)7 · (ax-6)9
xx. 4x = 64
xxi. 5x = 125
xxii. 9x = 81
xxiii. 3-x = 9xxiv. 6-x = 1
xxv. 6x = 1/36
xxvi. 5x = 1/125
xxvii. 2x+1 = 0,25
xxviii. 2x-3 = 1/8
xxix. [pic]
xxx. [pic]
xxxi. [pic]
xxxii. [pic]
xxxiii. [pic]
xxxiv. [pic]
xxxv. [pic]xxxvi. [pic]
xxxvii. [pic]
xxxviii. [pic]
xxxix. [pic]
xl. [pic]
xli. [pic]
xlii. [pic]
xliii. [pic]
xliv. (25x-3)6 : (1252-3x)2 = 625
xlv. [pic]
xlvi. [pic]
xlvii.(2x)x = 16
xlviii. [pic]
xlix. (5x)x-2 = 25x
l. [pic]
li. [pic]
lii. 102x-1 – 10x = 0
liii. [pic]
liv. (0,25)x+1 = (0,125)x-1

2. 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]

3. Desarrolla aplicando las propiedades de los logaritmos:

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]

4. 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...