Homework Help: Rewriting an equation

Re: Rewriting

So you mean you have 0.5p_ss= p_ss(1- e^((Lp/Ix)t)) and you want to "rewrite the equation"? Rewrite it how? Solve the equation for p_ss or perhaps Lp or Ix or t?

You then have ln(0.5)= ln(1)- ln(e^((Lp/Ix)t)). How did you get that? Not by taking the logarithm of both sides of the first equation. That would be ln(0.5p)= ln(p_ss(1- e[sup[(Lp/Ix)t)[/sup]) which reduces to ln(0.5)+ ln(p)=ln(p)+ ln(1- e^((Lp/Ix)t)) and the "ln(p)" terms cancel to give ln(0.5)= ln(1- e^((Lp/Ix)t)) but ln(1- e^((Lp/Ix)t)) is NOT ln(1)- ln(e^{((Lp)/Ix)t)): in general ln(a- b) is NOT ln(a)- ln(b). If I new HOW you were trying to "rewrite" the equation, I might be able to suggest reducing before you take the logarithm.}