Question

Determine o conjunto verdade das seguintes equações exponenciais: a) 2 x + 1 + 2 x + 3 = 20
b) 3 x + 2 + 3 x + 1 = 108
c) 2 x + 3 - 2 x + 2 = 64
d) 7 x + 1 + 7 x + 1 = 14
e) 5 x + 1 + 5 x + 3 = 130

Answer 1

a) 2x+1+2x+3=20

2x+2x=20-1-3

4x=16

x=16÷4

x=4

S {R€x/x=4}

b)3x+2+3x+1=108

3x+3x=108-2-1

6x=105

x=105/6

S{R€x/x=105/6}

c)2x+3-2x+2=64

2x-2x=64-3-2

x=59

S {R€x/x=59}

d) 7x+1+7x+1=14

7x+7x=14-1-1

14x=12

x=12/14

S {R€x/x=12/14}

e)5x+1+5x+3=130

5x+5x=130-1-3

10x=126

x=126/10

S {R€x/x=126/10}