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Solve for K Wt=Wi*e^-kt

 Dec 15, 2015

Best Answer 

 #1
avatar+26397 
+5

Solve for K Wt=Wi*e^-kt

 

I assume: W(t)=W(i)ekt

 

W(t)=W(i)ekt|:W(i)W(t)W(i)=ekt|lnln(W(t)W(i))=ln(ekt)ln(W(t))ln(W(i))=ktln(e)|ln(e)=1ln(W(t))ln(W(i))=kt|(1)ln(W(t))+ln(W(i))=ktkt=ln(W(t))+ln(W(i))kt=ln(W(i))ln(W(t))|:tk=ln(W(i))ln(W(t))t

 

laugh

 Dec 15, 2015
 #1
avatar+26397 
+5
Best Answer

Solve for K Wt=Wi*e^-kt

 

I assume: W(t)=W(i)ekt

 

W(t)=W(i)ekt|:W(i)W(t)W(i)=ekt|lnln(W(t)W(i))=ln(ekt)ln(W(t))ln(W(i))=ktln(e)|ln(e)=1ln(W(t))ln(W(i))=kt|(1)ln(W(t))+ln(W(i))=ktkt=ln(W(t))+ln(W(i))kt=ln(W(i))ln(W(t))|:tk=ln(W(i))ln(W(t))t

 

laugh

heureka Dec 15, 2015

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