###### Asked in Math and ArithmeticAlgebra

Math and Arithmetic

Algebra

# What is the Natural log of 0?

## Answer

###### Wiki User

###### May 30, 2012 10:33PM

The answer is "no solution." ln(0) means e^x=0, and nothing raised to any power can ever equal zero.

The domain of y=lnx is (0,∞) and the range is (-∞,∞).

## Related Questions

###### Asked in Math and Arithmetic, Algebra

### What will be the log reduction value if the number reduces from 5 to 0 or 5 to 1?

log(0) is not defined, so the first part of the question cannot
be answered.
log(5) = 0.6990 and log(1) = 0 so the reduction is 0.6990
log(0) is not defined, so the first part of the question cannot be
answered.
log(5) = 0.6990 and log(1) = 0 so the reduction is 0.6990
log(0) is not defined, so the first part of the question cannot be
answered.
log(5) = 0.6990 and log(1) = 0 so the reduction is 0.6990
log(0) is not defined, so the first part of the question cannot be
answered.
log(5) = 0.6990 and log(1) = 0 so the reduction is 0.6990

###### Asked in Math and Arithmetic, Algebra, Calculus

### Why log 0 is infinite?

the definition of log N = X
is 10 to the X power =N
for log 0 we have
10 to the x power = 0
The solution for x is that x is very large (infinite) and
negative, that is, minus infinity
As N gets smaller and smaller, log N approaches minus
infinity
log 1 = 0
log .1 = -1
log .001 = -3
log .000001 = -6
log 0 = -infinity

###### Asked in Algebra

### Rules of log?

###### Asked in Education

### Derivative of log?

###### Asked in Math and Arithmetic

### If a number doubles it is raised to what power?

The answer really depends on what number you are doubling.
Let's say that you wish to double the number a (which we assume
is greater than 0).
If we're raising a to the nth power, then n must satisfy the
following equation:
an = 2a
Taking the natural log on both sides,
n log a = log (2a),
n = log (2a) / log a.
So if we double the number a, it is raised to the log (2a) / log
a power.

###### Asked in Math and Arithmetic

### What is value of 20log10?

20 log 10 = log (10^20)
The actual value will depend upon the base use for the logarithm
- "log" means logarithms taken to any base, and when calculated it
gives to what power the base needs to be raised to get the original
number.
Two bases are used a lot and have specific abbreviations:
* logs to base 10 are known as common logs and are usually
abbreviated to "lg";
* logs to base e (= 2,71828...) are known as natural logs and
are abbreviated to "ln".
On a scientific calculator, the [log] button is common logs
([lg]).
If [2][0][log][1][0][=] is entered on a modern Casio scientific
calculator the result will be 20 × lg 10 = 20 x 1 = 20.
On an older (or different model without "natural entry")
scientific calculator [2][0][×][1][0][log][=] will need to be
entered
If natural logs are used: 20 log 10 = 20 ln 10 ≈ 20 × 2.303 +≈
46.052.