Hi How do I make t the subject in this equation? I have problems with the e. V=Vo e^-t/c I did this: ln(v) = Vo -t/c c ln(v) = Vo - t -c ln(v)/Vo = t However this does not work. Where did I go wrong? Thanks.
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Originally Posted by mark090480 Hi How do I make t the subject in this equation? I have problems with the e. V=Vo e^-t/c I did this: ln(v) = Vo -t/c c ln(v) = Vo - t -c ln(v)/Vo = t However this does not work. Where did I go wrong? Thanks. $\displaystyle \displaystyle v=v_0e^{-\frac{t}{c}} \iff \frac{v}{v_0}=e^{-\frac{t}{c}}$ Now taking the natural log of both sides gives $\displaystyle \displaystyle \ln\left( \frac{v}{v_0}\right)=-\frac{t}{c} \iff -c\ln\left( \frac{v}{v_0}\right)=t $
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