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the log of a number, X, is equal to some value , N, and by definition

10 to the N power =X

10 to any power is always positive

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Q: Why can't you take the log of a negative number?
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Log -3 equals?

There is no answer - it is an error: negative numbers do not have logarithms. The log if a number tells to what power the (positive) base must be raised to get the number. Raising any positive number to any power will never result in a negative number, so it is an error to try and take the log of a negative number.


How is it possible to find the negative log explain?

Logs are defined only for positive numbers so the log of a negative number does not exist.


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 gernal value of log y?

Log(y) can be any number, positive or negative, no limits. It all depends on the value of 'y'.


Why negative value is not valid for log?

The logarithm function is the inverse of the exponential function. Take the exponential function (base 10): y = 10x. The inverse of this is x = 10y. The function y = log(x) is used to define this inverse function. First look at y = 10x. Any real value of x will yield a positive real value for y. If x = 0, then y = 1; if x < 0 (negative) then y is between 0 and 1 (it will never equal zero, though). A value of 10-99999 is very close to zero, but not quite there. There are no real values of x which will give a negative y value for y = 10x. Now look at y = log(x) or x = 10y. No matter what real values for y, that we choose, x will always be a positive number, so a negative value of x in y = log(x) is not possible if you are limiting to real numbers. It is possible with complex and imaginary numbers to take a log of a negative number, or to get a negative answer to y = 10x.

Related questions

Log -3 equals?

There is no answer - it is an error: negative numbers do not have logarithms. The log if a number tells to what power the (positive) base must be raised to get the number. Raising any positive number to any power will never result in a negative number, so it is an error to try and take the log of a negative number.


What is -log equivalent to?

The negative log of a number is the log of the number's reciprocal ('1' divided by the number).


If you have a column of values on excel wth negative and positive values and you want to take the LOG of them what do you do?

You can't take the log of negative numbers - at least, not while you stay in the realm of real numbers.You can't take the log of negative numbers - at least, not while you stay in the realm of real numbers.You can't take the log of negative numbers - at least, not while you stay in the realm of real numbers.You can't take the log of negative numbers - at least, not while you stay in the realm of real numbers.


How is it possible to find the negative log explain?

Logs are defined only for positive numbers so the log of a negative number does not exist.


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 gernal value of log y?

Log(y) can be any number, positive or negative, no limits. It all depends on the value of 'y'.


How does decibels work?

To calculate the number of decibels that power-level-'A' is greater than power-level-'B',-- Divide 'A' by 'B'-- Take the 'log' of the quotient-- Multiply the 'log' by 10 .If the result is negative, then 'A' is that many decibels lower than 'B'.


Which phases of a typical bacterial growth curve illustrates a log change in cell number. Oviously log or growth phase is logarithmic. Is the death phase a negative log change?

The log phase of a bacterial growth curve represents exponential growth in cell number. It is followed by the stationary phase, where cell growth stabilizes. The death phase shows a decrease in cell number, but it may not necessarily follow a negative logarithmic trend.


Why does calculators display an error when log 0 is typed?

Because the log of zero is "negative infinity", and the calculator display is too narrow to display that number.


Why can't you have a negative argument in a logarithm- Negative two to the third power equals negative eight so why can't the log of base negative two of negative 8 equal three?

some times dams have negitives effects I added the answer below to a link of a Yahoo answer; however, it IS possible to calculate the log of a negative number but you have to work in complex numbers.


What is the pH of a solution with H plus 2.3x 10-9?

Since the pH is defined as the negative log of the H+ concentration, one simply needs to take the negative log of 2.3x10^-9. This value = pH = 8.6