Ecuaciones Exponenciales.
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ECUACIONES EXPONENCIALES 1. 4+ X
312525
=5 5
2. n
x n +5 n 1 = n n 4 80 + x
3.
2 2
x 2x = 4. 16
m 81 = m 3
4x
5. x
9 8 4 27
x −2
=
16 81
6.
3 x + 3 x −1 + 3 x − 2 + 3 x −3 + 3 x − 4 = 363 7.
2 x +1 − 3 x +1 = 1,5 3x 8.
2
2x+2
32 x − 2
= 16
9. 5
x x = 33 / 5 10.
a 11.
b a
(x
a +1
2 x −0 , 25
15
=2 2
)
−1
= 0,0625
12.
, calcular
x
4
=
x
13.
4
xy
1
y
4
y
, calcular
a b .b a = 2
a−b
2
14.
x
x
x
xx
− x x −1
= 22
2
15.
= 2−
2
16. −1
3 x .4 x = 17.
4 2 − 271 / 3 −1
2 −( 0,5) − 81−1 / 4
Si
calcula
( 2x) x / 2
4 x +1 + 2 x + 2 = 288 18.
Si
, calcula el valor de
4 x + 2 + 4 x + 4 + 4 x + 5 − 81 = 0 19. Halla el producto de los valores de “
x + x −1
” que satisfacen la ecuación
x
x
2 x −1
=
( x)
20. Calcula “n” en la ecuación
x
(x ) 8n
4− n
=x
45
312525
=5 5
2. n
x n +5 n 1 = n n 4 80 + x
3.
2 2
x 2x = 4. 16
m 81 = m 3
4x
5. x
9 8 4 27
x −2
=
16 81
6.
3 x + 3 x −1 + 3 x − 2 + 3 x −3 + 3 x − 4 = 363 7.
2 x +1 − 3 x +1 = 1,5 3x 8.
2
2x+2
32 x − 2
= 16
9. 5
x x = 33 / 5 10.
a 11.
b a
(x
a +1
2 x −0 , 25
15
=2 2
)
−1
= 0,0625
12.
, calcular
x
4
=
x
13.
4
xy
1
y
4
y
, calcular
a b .b a = 2
a−b
2
14.
x
x
x
xx
− x x −1
= 22
2
15.
= 2−
2
16. −1
3 x .4 x = 17.
4 2 − 271 / 3 −1
2 −( 0,5) − 81−1 / 4
Si
calcula
( 2x) x / 2
4 x +1 + 2 x + 2 = 288 18.
Si
, calcula el valor de
4 x + 2 + 4 x + 4 + 4 x + 5 − 81 = 0 19. Halla el producto de los valores de “
x + x −1
” que satisfacen la ecuación
x
x
2 x −1
=
( x)
20. Calcula “n” en la ecuación
x
(x ) 8n
4− n
=x
45
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