Question

A) 2^x+1 = 256

B) 2^X+2 + 2^X-1 = 36

Answer 1

Resposta:

A)

2^(x+1)  = 256

2^(x+1)  = 2^8

x+1=8

x=7

B)

2^(x+2) + 2^(x-1) = 36

2^(x) * 2² +2^(x) * 2⁻¹ =36

4 * 2^(x) + (1/2) * 2^(x) =36

2^(x) * [ 4+1/2] =36

2^(x) * [9/2]=36

2^(x) =36 * 2/9

2^(x)=8

2^(x)=2^(3)

x=3