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No. Logarithms are not defined for 0 or negative numbers.

However, if we use complex numbers, ln -1 equals 3.1416i or pii and

log -1 equals ~ 1.36i

Ans. 2

Although logarithms are not defined for negative numbers, if you want to use logs just for the multiplication or division of non-zero real numbers it is easy to do.

  • make a note of how many of the operands are negative
  • if there are an odd number of negatives, write down "minus"
  • use the logs as if all numbers are positive
  • if you wrote down minus, put a minus sign before the result.
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Q: Can you get the logarithm of a negative number?
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Related questions

How do you calculate - log 0.5?

The logarithm of a number less than 1 is negative. Therefore, -log 0.5 is the negative logarithm of 0.5 which is equal to -0.301.


Is it possible for a logarithm to equal a negative number?

Yes. The logarithm of 1 is zero; the logarithm of any number less than one is negative. For example, in base 10, log(0.1) = -1, log(0.01) = -2, log(0.001) = -3, etc.


What is the logarithm L of a number x if 0 is greater than x?

Within the real numbers, the logarithm of negative numbers is not defined.


Is there a negative answer on logarithm?

Logarithms of numbers less than one are negative. For example, the logarithm of 1/2 will be negative.


Can base of a logarithm be negative?

no


Why is log -10 display an error on the calculator?

In the real numbers, the logarithm is only defined for positive numbers. The logarithm of zero or a negative number is undefined. (For calculators who work with complex number, only the logarithm of zero is undefined.) This follows from the definition of the logarithm, as the solution of: 10x = whatever "Whatever" is the number of which you want to calculate the logarithm. Since 10x is always positive, that means you can't find an "x" such that the power results in a negative number, or in zero. The same applies if you use a base other than 10, for example the number e = 2.718...


How do you find a logarithm from a table?

You look the number up in a table.Example:Find the logarithm of 511From a table I see that numbers are only listed from 1.00 to 9.99I look up 5.11 and know that I have to multiply that by 100 or 102 to get my original value, which is equivalent to adding 2 to the table value.The table gives me 0.7084209 for the logarithm for 5.11The logarithm of 511 is thus 2.7084209For numbers less than 1 the logarithm will be negative!Negative numbers do have logarithms!


What is the difference between the common logarithm and the natural logarithm?

A logarithm is the exponent to which a number called a base is raised to become a different specific number. A common logarithm uses 10 as the base and a natural logarithm uses the number e (approximately 2.71828) as the base.


What is the logarithm of -1?

Negative numbers don't have logarithms.


What is a negative logarithm?

A logarithm of a reciprocal. For example, log(1/7) or log(7-1) = -log(7)


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The inverse of the logarithm of a number is ten to the number, meaning that the number is the exponent. In this case, 10^-3.1 equals approximately .0007943.


What is the pH of an aqueous solution with a H plus concentration of 1 X 10-3 M?

3: The negative of the logarithm (base 10) of the concentration. The logarithm of 1 is 0 and the logarithm of 10-3 is -3; the logarithm of their product is the sum of their individual logarithms, -3 in this instance, and the negative of -3 is +3.