SOLUTION: ln sqrt x-2 = -2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: ln sqrt x-2 = -2      Log On


   



Question 47887This question is from textbook college math ll
: ln sqrt x-2 = -2 This question is from textbook college math ll

Found 2 solutions by Nate, stanbon:
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
log%28e%2Csqrt%28x+-+2%29%29+=+-2
sqrt%28x+-+2%29+=+1%2Fe%5E2
x+-+2+=+1%2Fe%5E4
x+=+2+%2B+1%2Fe%5E4
About 2.0183

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
ln sqrt(x-2) = -2
e^(-2)= sqrt(x-2)
Square both sides to get:
e^-4 = x-2
0.01831564...=x-2
x=2.01831564...
Cheers,
Stan H.