Resposta :
Olá, Aline.
[tex]S(t)=S_0\cdot2^{-0,25t}\Rightarrow\frac{S_0}{2}=S_0\cdot2^{-0,25t}\Rightarrow\\\\ \frac{1}{2}=2^{-0,25t}\Rightarrow1=2^{-0,25t}\cdot2\Rightarrow 2^{-0,25t+1}=2^0\Rightarrow\\\\ -0,25t+1=0\Rightarrow0,25t=1\Rightarrow\boxed{t=4\,s}[/tex]
[tex]S(t)=S_0\cdot2^{-0,25t}\Rightarrow\frac{S_0}{2}=S_0\cdot2^{-0,25t}\Rightarrow\\\\ \frac{1}{2}=2^{-0,25t}\Rightarrow1=2^{-0,25t}\cdot2\Rightarrow 2^{-0,25t+1}=2^0\Rightarrow\\\\ -0,25t+1=0\Rightarrow0,25t=1\Rightarrow\boxed{t=4\,s}[/tex]
Olá
S(t)=S0⋅2−0,25t
2S0=S0⋅2−0,25t
21=2−0,25t
1=2−0,25t⋅2
2−0,25t+1=20
−0,25t+1=0
0,25t=1
t=4s
S(t)=S0⋅2−0,25t
2S0=S0⋅2−0,25t
21=2−0,25t
1=2−0,25t⋅2
2−0,25t+1=20
−0,25t+1=0
0,25t=1
t=4s