# How do you graph #y=e^(ln x)#?

##### 1 Answer

May 9, 2018

#### Explanation:

*The natural logarithm function, if considered as a real-valued function of a real variable, is the inverse function of the exponential function, leading to the identities:
# e^{\ln x}=x\qquad \text{if } x>0 \qquad e^{\ln x}=x\qquad \text{if }x>0#
# \ln(e^{x})=x#
Like all logarithms, the natural logarithm maps multiplication into addition:
# \ln(xy)=\ln x+\ln y#*

from natural logarithm.