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QUESTION

# 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.