SOLUTION: i need the answers to these following questions. what is the solution of the equation? 30/(1+6e^(-5x))=10 ln(x^2+3x)- ln 10=0 2lnx+ln3 e^(ln2.5)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: i need the answers to these following questions. what is the solution of the equation? 30/(1+6e^(-5x))=10 ln(x^2+3x)- ln 10=0 2lnx+ln3 e^(ln2.5)      Log On


   

Question 314862: i need the answers to these following questions.
what is the solution of the equation? 30/(1+6e^(-5x))=10
ln(x^2+3x)- ln 10=0
2lnx+ln3
e^(ln2.5)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Only the first two are equations so only those can be solved.
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30%2F%281%2B6e%5E%28-5x%29%29=10+
30=10%281%2B6e%5E%28-5x%29%29
1%2B6e%5E%28-5x%29=3
6e%5E%28-5x%29=2
e%5E%28-5x%29=2%2F6=1%2F3
-5x=ln%281%2F3%29
highlight%28x=-ln%281%2F3%29%2F5%29
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ln%28x%5E2%2B3x%29-ln%2810%29=0+
ln%28x%5E2%2B3x%29=ln%2810%29
x%5E2%2B3x=10
x%5E2%2B3x-10=0
%28x%2B5%29%28x-2%29=0
Two solutions:
x%2B5=0
highlight%28+x=-5%29
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x-2=0
highlight%28+x=2%29
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Please re-post the other two if you still need help with them.