Exerc 3bim Func Exponencial Doc

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Colégio Pio XII Matemática

Lista de Exercícios – Função Exponencial Professor: Heráclito Duarte de Freitas

1- Resolva as equações exponenciais.

3 x = 81 b) 8 x = 16 1 x c) 7 = 49 x x +1 d) ( 2 ) = 64 a)

2

3 x + 2 = 27 x x f) 2 2 = 16 2 g) 81 ⋅ 27 x = 3 x 17 x −x h) 2 + 2 = 4 i) 3 2 x − 4 ⋅ 3 x + 3 = 0 j) 3 x − 3 ⋅ 3− x = 2 k) 2 2 x − 9 ⋅ 2 x + 8 = 0 l) 4 x − 6 ⋅ 2 x − 16 = 0 m) 5 ⋅ 25 x − 26 ⋅ 5 x + 5 = 0 e)

2- Resolva os sistemas de equações exponenciais.

2 x ⋅ 2 y = 32  b)  5 x 1  y = 125 5

2 x + y = 4 a)  x − y 3 = 81

3- Resolva as inequações exponenciais. a)

3x > 9 x

1 1 b)   ≤  2  16 x

1 c)   > 5 49 7 1 x d) 25 ≤ 125 x

4  27  e)   ≥ 9  8  100 x f) (0,3) < 9 1 g)   3 h)

x 2 −5 x

4x >

1 ≥  3

−4

1 32

Matemática – Heráclito – Função Exponencial

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Matemática – Heráclito – Função Exponencial

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