\[y={e}^{x}\]
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Range
1
Find the range by finding the domain of the inverse function. Solving for xx, the inverse function is:
x=ln⁡yx=\ln{y}

2
Notice the equation contains ln⁡y\ln{y}. Since anything inside a logarithm must be positive, the domain is restricted to y>0y>0.
y>0y>0

Done
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