Z Zain Member Dec 26, 2019 24 5 Jan 25, 2021 #1 What is the natural logarithm of zero? I was arguing with my course mate that it's undefined and he keeps insisting it's 1. Who else can prove the correct answer.

What is the natural logarithm of zero? I was arguing with my course mate that it's undefined and he keeps insisting it's 1. Who else can prove the correct answer.

L LinkTainted Member Sep 29, 2019 9 1 Jan 25, 2021 #2 The natural logarithm function ln(x) is defined only for x>0. Let's consider y = ln(x) x = e^y There is no value of y you can substitute to make x=0. So therefore, the natural logarithm of zero is undefined.

The natural logarithm function ln(x) is defined only for x>0. Let's consider y = ln(x) x = e^y There is no value of y you can substitute to make x=0. So therefore, the natural logarithm of zero is undefined.

T TheEpicBlock Member Oct 7, 2019 20 0 Jan 25, 2021 #3 You can't have ln(0) because any number or thing to the power of 0 is one, and you can't have the power of something being 0. ln(1) = 0 as e to the power 0 is 1. ln(0) would mean that e to the power of a number is 0 which never occurs at all. So it's undefined.

You can't have ln(0) because any number or thing to the power of 0 is one, and you can't have the power of something being 0. ln(1) = 0 as e to the power 0 is 1. ln(0) would mean that e to the power of a number is 0 which never occurs at all. So it's undefined.

M Mars Member Oct 7, 2019 14 3 Jan 25, 2021 #4 ln(0) is undefined, However, ln(0) is the number we should raise e to get 0: So, e raise to the power of x = 0 because we don't have any number x to fill this equation

ln(0) is undefined, However, ln(0) is the number we should raise e to get 0: So, e raise to the power of x = 0 because we don't have any number x to fill this equation

C Centrino Member Jul 29, 2020 8 2 Jan 25, 2021 #5 You are right and the buddy arguing with you is wrong..