How do you find the domain and range of a natural log?
February 20th, 2023
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_{xto-oo} ln(x) = 0## and ##lim_{xto+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.