Question 869368
{{{N= C/(1+((C-N[o])/N[o])*e^(-rt))}}}
Let's make a substitution first for better readability.
{{{A=((C-N[o])/N[o])}}}
{{{N= C/(1+A*e^(-rt))}}}
{{{N(1+A*e^(-rt))=C}}}
{{{N+AN*e^(-rt)=C}}}
{{{AN*e^(-rt)=C-N}}}
{{{e^(-rt)=(C-N)/AN}}}
{{{-rt=ln((C-N)/AN)}}}
{{{r=-(1/t)ln((C-N)/AN)}}}
{{{r=-(1/t)ln(((C-N)/(C-N[o]))(N[o]/N))}}}