We know x = ln(e^x) for all x in the real numbers then we substitute the expression for x above into the equation (in the Q) and obtain. ln(x) + ln(e^x) = 1 (from substitution from definition above) Equivalently. ln(xe^x) = 1 (log rules)
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The natural logarithm function ln(x) is the inverse function of the exponential function ex. For x>0, f (f -1(x)) = eln(x) = x Or f -1(f (x)) = ln(ex) = x See more
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