There is no answer. Logarithms operate only on non-negative numbers.
* * * * *
Actually, logarithms are not defined for 0 either, so they operate only on positive numbers.
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.
To calculate a logarithm (log T), you determine the base of the logarithm you want to use (commonly base 10 or the natural logarithm base e). Then, you use the formula log T = log (T) where T is the number you wish to take the logarithm of. For example, if T = 100, log10(100) = 2 because 10^2 = 100. You can use a scientific calculator or software to compute logarithms directly.
The logarithm of 8, denoted as log(8), refers to the power to which a base must be raised to obtain the number 8. If the base is 10 (common logarithm), log(8) is approximately 0.903. If the base is 2 (binary logarithm), log₂(8) equals 3, since 2 raised to the power of 3 equals 8. The value of log(8) can vary depending on the chosen base.
To solve the equation (2^x = 3), take the logarithm of both sides. This can be done using either natural logarithm (ln) or common logarithm (log): [ x = \log_2(3) = \frac{\log(3)}{\log(2)} ] This gives you the value of (x) in terms of logarithms. You can then use a calculator to find the numerical value if needed.
Yes. Logarithms to the base 10 are called common logarithms, and 2 is the correct common logarithm for 100.
11.2
log 2 = 0.30102999566398119521373889472449 for base 10 logarithms
A logarithm of a reciprocal. For example, log(1/7) or log(7-1) = -log(7)
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.
A number for which a given logarithm stands is the result that the logarithm function yields when applied to a specific base and value. For example, in the equation log(base 2) 8 = 3, the number for which the logarithm stands is 8.
In mathematics, the logarithm function is denoted by "log". The base of the logarithm is typically specified, for example, "Log S" usually refers to the logarithm of S to a certain base (e.g., base 10 or base e).
2 log(x)derivative form:d/dx(2 log(x)) = 2/x
The logarithm of 8, denoted as log(8), refers to the power to which a base must be raised to obtain the number 8. If the base is 10 (common logarithm), log(8) is approximately 0.903. If the base is 2 (binary logarithm), log₂(8) equals 3, since 2 raised to the power of 3 equals 8. The value of log(8) can vary depending on the chosen base.
log316 - log32 = log38
The meaning of this subscript is the base of a specific logarithm; example: log10, the usual logarithm with the base 10.
To solve the equation (2^x = 3), take the logarithm of both sides. This can be done using either natural logarithm (ln) or common logarithm (log): [ x = \log_2(3) = \frac{\log(3)}{\log(2)} ] This gives you the value of (x) in terms of logarithms. You can then use a calculator to find the numerical value if needed.
Yes. Logarithms to the base 10 are called common logarithms, and 2 is the correct common logarithm for 100.