How to rearrange the given equation for A: ln (Ao/A) = k*t

3 answers

Multiply both sides by A then divide by kt

A = Ao/kt

I am assuming the * means multiplication.
what about the ln? (natural log)
ln(Ao/A)=kt => (Ao/A)=e^kt
=> Ao/e^kt=A => A=Aoe^-kt (1st order integrated rate law)