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Estudos Gerais11/11/2024

o) 4^x = 7 2^x + 8 p) 25^x = 5^x + 20 q) 3^{2x-1} = 3^{1/2}...

o) 4^x = 7 2^x + 8 p) 25^x = 5^x + 20 q) 3^{2x-1} = 3^{1/2} r) 7^x + 7^{x-1} = 8^x s) 2 3|x+2| - 9|x+2| - 1 = 0 t) 1,25 = 5^{-x/25400} u) 2^{x} = 3^{x+1}/2 v) 4^{x} + 6 = 5 2^{x} w) 2^{x-1} + 2^{x+2} + 2^{x} = 11/4 x) 2^{x+1} + 2^{x+2} + 2^{x} = 7√2 y) 10^{-x}/0,2 = 0,00115/2,3 z) (4^{x})^2 = 16 2^{2x} Desafios

  1. Sendo 4^{x} - 4^{x-1} = 24, qual o valor de x^{1/2} ? a) √5/2 b) √5/2 c) 2√2 d) √10/5 e) √2/2
  2. Resolva: √(5x^2 - 2) - √(25 imes 2^{x-5}) = 2√(3x - 2) a) S = {-4,3} b) S = {-3,6} c) S = {-6,3} d) S = {3}

Equação exponencial

o) 4^x = 7 
2^x + 8
p) 25^x = 5^x + 20
q) 3^{2x-1} = 3^{1/2}
r) 7^x + 7^{x-1} = 8^x
s) 2 
3|x+2| - 9|x+2| - 1 = 0
t) 1,25 = 5^{-x/25400}
u) 2^{x} = 3^{x+1}/2
v) 4^{x} + 6 = 5 
2^{x}
w) 2^{x-1} + 2^{x+2} + 2^{x} = 11/4
x) 2^{x+1} + 2^{x+2} + 2^{x} = 7√2
y) 10^{-x}/0,2 = 0,00115/2,3
z) (4^{x})^2 = 16 
2^{2x}
Desafios
1. Sendo 4^{x} - 4^{x-1} = 24, qual o valor de x^{1/2} ?
a) √5/2
b) √5/2
c) 2√2
d) √10/5
e) √2/2
2. Resolva:
√(5x^2 - 2) - √(25 	imes 2^{x-5}) = 2√(3x - 2)
a) S = {-4,3}
b) S = {-3,6}
c) S = {-6,3}
d) S = {3}
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