SOLUTION: Rewrite ln(x+9)-ln(x) as ln((x+9)/x) Take e to both sides: e^(ln((x+9)/x))=e^1 (x+9)/x=e^1 1+(9/x)=e^(1) 9/x=e^(1)-1 x=9/(e^(1)-1)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Rewrite ln(x+9)-ln(x) as ln((x+9)/x) Take e to both sides: e^(ln((x+9)/x))=e^1 (x+9)/x=e^1 1+(9/x)=e^(1) 9/x=e^(1)-1 x=9/(e^(1)-1)       Log On


   



Question 71215: Rewrite ln(x+9)-ln(x) as ln((x+9)/x)
Take e to both sides:
e^(ln((x+9)/x))=e^1
(x+9)/x=e^1
1+(9/x)=e^(1)
9/x=e^(1)-1
x=9/(e^(1)-1)

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