SOLUTION: Solve Equation(Do no use mixed numbers in your answer). ln(5x-6)+ln(x)=ln(e) please help me with this problem.I would appreciate it

Question 589004: Solve Equation(Do no use mixed numbers in your answer).
ln(5x-6)+ln(x)=ln(e)
please help me with this problem.I would appreciate it
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Solve Equation(Do no use mixed numbers in your answer).
ln(5x-6)+ln(x)=ln(e)
ln[(5x-6)(x)]=1
convert to exponential form
e^1=5x^2-6x
5x^2-6x-e=0
solve by quadratic formula:
a=5, b=-6, c=e
x=[6�√(36-4*5*e)]/2*10
x=[6�√(36-20e)]/20
plug in e=2.7183 to solve for x
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