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# How do you find the domain and range of a natural log?

Hello,

The natural logarithm, also called neperian logarithm, is noted ##ln##.

The is ##D=]0,+\infty[## because ##\ln(x)## exists if and only if ##x>0##.

The is ##I=RR = ]-oo,+oo[## because ##ln## is strictly croissant and ##\lim_{x\to-oo} ln(x) = 0## and ##\lim_{x\to+oo} ln(x) = +oo##.

graph{ln(x) [-2.125, 17.875, -4.76, 5.24]}

The domain ##D## is the projection of the curve of ##ln## on the x axe.

The range ##I## is the projection of the curve on y axe.