SOLUTION: can you help me with this exercise, please? solve for x: ln e^(sqrt(x-2))= 6 Thank You!!

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Question 354497: can you help me with this exercise, please?
solve for x:
ln e^(sqrt(x-2))= 6
Thank You!!
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
ln+e%5E%28sqrt%28x-2%29%29=+6. The ln and the base e will just cancel each other out, to give
sqrt%28x-2%29+=+6. Squaring both sides, we get
x-2+=+36,
x+=+38. Checking this value against the original equation shows that indeed it is the solution to the equation.