Question

resolva as seguintes equações:
a) 2^x+³=256
b) 3^x-1=81
c) 4^x-4=256
d) 3^x+²= 1/243
e) 2^x-3= 1/64
f) 5^x-4= 1/625

Answer 1

Resposta:

a) x = 5

b) x = 5

c) x = 8

d) x = -7

e) x = -3

f) x = 0

Explicação passo-a-passo:

a) 2^(x+3) = 256 -> 2^(x+3) = 2^8 -> x+3 = 8 -> x = 5

b) 3^(x-1) = 81 -> 3^(x-1) = 3^4 -> x-1 = 4 -> x = 5

c) 4^(x-4) = 256 -> 4^(x-4) = 4^4 -> x-4 = 4 -> x = 8

d) 3^(x+2) = 1/243 -> 3^(x+2) = 1/(3^5) -> 3^(x+2) = 3^(-5) -> x+2 = -5 -> x = -7

e) 2^(x-3) = 1/64 -> 2^(x-3) = 1/(2^6) -> 2^(x-3) = 2^(-6) -> x - 3 = -6 -> x = -3

f) 5^(x-4) = 1/625 -> 5^(x-4) = 1/(5^4) -> 5^(x-4) = 5^(-4) -> x - 4 = -4 -> x = 0