SOLUTION: {{{ ln sqrt (x+6)=9}}} The answer is {{{(e^18-6)}}} I would like to know the steps to that. I've tried so many ways and I still can't get to that answer. Thank you.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: {{{ ln sqrt (x+6)=9}}} The answer is {{{(e^18-6)}}} I would like to know the steps to that. I've tried so many ways and I still can't get to that answer. Thank you.       Log On


   

Question 545950: +ln+sqrt+%28x%2B6%29=9
The answer is %28e%5E18-6%29
I would like to know the steps to that. I've tried so many ways and I still can't get to that answer. Thank you.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
parentheses for clarification ___ ln(sqrt(x + 6)) = 9

natural log operation ___ e^[ln(a)] = a

e^[ln(sqrt(x + 6))] = e^9 ___ sqrt(x + 6) = e^9

squaring ___ x + 6 = e^18