Question

Resolva as seguintes equações exponenciais: a) 2^x=128 b) 2^x-2=8 c) 4^x=512 d) 2^x-3= 1/8 e) 2^x+1= 1/4

Answer 1

a) 2^x=2^7
x=7

b) 2^x-2=2³
x-2=3
x=3+2
x=5

c)2^2x= 2^9
2x=9
x=9/2
x=4,5

d) 2^x-3=1/2³
2^x-3=2^-³
x-3=-3
x=-3+3
x=0

e)2^x+1= 1/2²
2^x+1=2-²
x+1=-2
x=-2-1
x=-3

Answer 2

Boa tarde 

a)

2^x =128
2^x = 2^7
x = 7 

b)

2^(x - 2) = 8
2'x / 4 = 8
2^x = 32 = 2^5
x = 5

c)

 4^x = 512
2^2x = 2^0
x = 9/2 

d)

2^(x - 3) = 1/8
2^x / 8 = 1/ 8
2^x = 1
x = 0 

e)

2^(x + 1) = 1/4
2"2^x = 1/4
2^x = 1//8 
x = -3