e^ln x
x
The expression e^ln x can be simplified using the laws of logarithms. Recall that the natural logarithm ln is the inverse of the exponential function e, meaning that e^(ln x) = x for all positive values of x.
Therefore, e^ln x = x for all x > 0. This can be interpreted as follows: raising e to the power of the natural logarithm of a positive number x is equivalent to just finding x itself.
In other words, e^ln x undoes the effect of the natural logarithm on x, resulting in the original value of x.
For example, if x = 5, then e^ln 5 = 5. If x = 10, then e^ln 10 = 10, and so on.
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