SOLUTION: Expand the logarithmic expression: ln (x√(x^2+1))/e^x

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Question 1176045: Expand the logarithmic expression:
ln (x√(x^2+1))/e^x
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!


ln+%28x%2Asqrt%28x%5E2%2B1%29%29%2Fe%5Ex+ ( = +ln%28x%2A%28x%5E2%2B1%29%5E%281%2F2%29%29+%2F+e%5Ex+ )

= +%28ln%28x%29+%2B+%281%2F2%29ln%28x%5E2%2B1%29%29+%2F+e%5Ex+ 



If you must expand further:

= +ln%28x%29%2Fe%5Ex+%2B+%281%2F%282e%5Ex%29%29ln%28x%5E2%2B1%29+



or 

= +e%5E%28-x%29ln%28x%29%2B+e%5E%28-x%29%281%2F2%29ln%28x%5E2%2B1%29+