Question

2^x-1 +2^x =12
am nevoie urgent..​

Answer 1

Explicație pas cu pas:

2^(x-1)+2^x=12 =>

2^x*[2^(-1)+1]=12 =>

2^x*(1/2+1)=12 =>

2^x*3/2=12 => 2^x=8 => x=3

Answer 2

Răspuns:  x = 3

Explicație pas cu pas:

2ˣ⁻¹ + 2ˣ = 12

2ˣ x 2⁻¹ + 2ˣ = 12

2ˣ x ( 1/2 + 1 ) = 12

2ˣ x ( 1/2 + 2/2 ) = 12

2ˣ x ( 3/2) = 12

2ˣ = 12 : ( 3/2 )

2ˣ = 12 x ( 2/3 )

2ˣ = 4 x 2

2ˣ = 2³ =>    x = 3