SOLUTION: I must solve the following equation by using properties of logarithms: 4e^(3x)+1=17 Thanks!

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I must solve the following equation by using properties of logarithms: 4e^(3x)+1=17 Thanks!       Log On


   

Question 730305: I must solve the following equation by using properties of logarithms: 4e^(3x)+1=17
Thanks!
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
solve the following equation by using properties of logarithms: 4e^(3x)+1=17
4e^(3x)+1=17
4e^(3x)=16
e^(3x)=4
3xlne=ln4
lne=1 (log of base=1)
3x=ln4
x=ln4/3
x≈0.4621..