SOLUTION: Using properties and defintions of logarithms and exponents, solve the given equation for t ln t + ln (t-1-e^2) = 2

Question 624268: Using properties and defintions of logarithms and exponents, solve the given equation for t
ln t + ln (t-1-e^2) = 2
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Using properties and defintions of logarithms and exponents, solve the given equation for t
ln t + ln (t-1-e^2) = 2
**
place under single log
ln[t(t-1-e^2)]=2
convert to exponential form:
e^2=t(t-1-e^2)
t=e^2(t-1-e^2)
t=e^2t-e^2-e^4)
t-e^2t=-e^2-e^4)
t(1-e^2)=-e^2(1+e^2)
t=-e^2(1+e^2)/(1-e^2)
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