ResolvA as seguintes equações exponenciais :
F) 3^x-1 - 3^x+1=-8
G) (1/3)^x2-10=1/729
H) 3.3^2× -4.3^×= -1
I) 11^2× +2.11^×=3
J) 2^2× -3.2^2 -6= -8
F) 3^x-1 - 3^x+1=-8
G) (1/3)^x2-10=1/729
H) 3.3^2× -4.3^×= -1
I) 11^2× +2.11^×=3
J) 2^2× -3.2^2 -6= -8
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f)
3^x/3 - 3*3^x = -8
3^x - 9*3^x = -24
-8*3^x = -24
3^x = 3, x = 1
g)
(1/3)^(x² - 10) = 1/729
3^(x² - 10) = 729 = 3^6
x² - 10 = 6
x² = 16
x1 = 4
x2 = -4
h)
3*3^2x -4*3^x= -1
y = 3^x
3y^2 - 4y + 1 = 0
delta
d^2 = 16 - 12 = 4
d = 2
y1 = (4 + 2)/2 = 3, x1 = 1
y2 = (4 - 2)/2 = 1 , x2 = 0
I) 11^2x + 2*11^x = 3
y^2 + 2y - 3 = 0
delta
d^2 = 4 + 12 = 16
d = 4
y1 = (-2 + 4)/2 = 1 = 11^x1 , x1 = 0
J) 2^2× - 3*2^2 - 6 = -8
2^2× - 3*2^2 + 2 = 0
y^2 - 3y + 2 = 0
(y - 2)*(y - 1) = 0
y1 = 2 x1 = 1
y2 = 1 x2 = 0