It depends. If you mean (ln e)7, then the answer is 1, since (ln e) = 1. If you mean ln(e7), then the answer is 7, since ln(e7) = 7 (ln e) and (ln e) = 1.
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e^(ln 3) = 3
e1 + (lnx) = e1 * e(lnx) = e * x = ex
0.8333
Think of ln 1 as "e to what power will given me 1." Anything to the zero power will give you 1. So, ln 1 = 0, and 0/2 = 0
integral of e to the power -x is -e to the power -x