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### Taking the Logarithm of Zero

```Date: 08/11/2004 at 05:31:35
From: Vijay
Subject: what is logarithm of zero?

Why is log(0) not defined?

```

```
Date: 08/11/2004 at 07:23:10
From: Doctor Ian
Subject: Re: what is logarithm of zero?

Hi Vijay,

Remember that any logarithmic statement can also be expressed as an
exponential statement and vice versa.  Thus,

if

a
b  = c

then

log (c) = a
b

3
For example, since 2  = 8, we can say log (8) = 3.
2

So if

log (0) = a
b

then

a
b  = 0

but there's no way to raise a number to any power and end up with
zero.  So log(0) is undefined.

Does this help?

- Doctor Ian, The Math Forum
http://mathforum.org/dr.math/
```
Associated Topics:
High School Logs
Middle School Logarithms

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