While you can define $\log_1 1$, you're going to run into problems because virtually all of the properties of logs are no longer satisfied in the way you want. It's worth noting that in complex analysis, $\log$ in general has to be a multivalued function, i.e. since there are multiple solutions in $x$ to $a^x = b$, $\log_a b$ has multiple values.

2024年7月30日 · This log calculator (logarithm calculator) allows you to calculate the logarithm of a (positive real) number with a chosen base (positive, not equal to 1). Regardless of whether you are looking for a natural logarithm, log base 2, or log base 10, this tool will solve your problem.

Logarithm of 1. The base b logarithm of one is zero: log b (1) = 0. For example, teh base two logarithm of one is zero: log 2 (1) = 0. See: log of one. Logarithm of infinity. The limit of the base b logarithm of x, when x approaches infinity, is equal to infinity: lim log b (x) = ∞, when x→∞. See: log of infinity. Logarithm of the base

Log Calculator (Logarithm) Please provide any two values to calculate the third in the logarithm equation log b x=y. It can accept "e" as a base input.

How to find what is Log Base 1 of 1? The logarithm of a number to a given base is the exponent to which the base must be raised to produce the number. In mathematical terms, if "b" is the base and "x" is the number, then the logarithm of "x" to the base "b" is written as log b (x) and is defined as the exponent "y" such that b^y = x.

Ask yourself what log1 x log 1 x means. It's the power, say p p, for which 1p = x 1 p = x. Unless x = 1 x = 1, there is no solution, and when x = 1 x = 1 any power will do, so log1 1 log 1 1 is any number.

2020年11月24日 · $\log_1 1$ is undefined. By the change of base formula, we can see this is equal to $\frac {\ln 1} {\ln 1} = \frac 0 0$, which is itself undefined (an indeterminate form). Undefined or indeterminate does not mean "any number", it simply means that it is not possible to assign a proper meaning to the expression.

But if you really want a logarithm base 1, you can define log1 to be a multifunction from R+ to R∪{∞,−∞}. On the input 1 it outputs R. On every input x>1 it outputs {∞}. On every input 0<x<1 it outputs {−∞}. This multifunction can be made to satisfy all the basic properties of the logarithm, if you interpret = as ∈, 1{∞} as ...

In this article, we are going to learn and evaluate the value of log 1 for common and natural logarithmic functions. Generally, the logarithm is classified into two types. They are. The log function with base 10 is called the common logarithmic functions and the log with base e is called the natural logarithmic function.

log 1 = 0 means that the logarithm of 1 is always zero, no matter what the base of the logarithm is. This is because any number raised to 0 equals 1. Therefore, ln 1 = 0 also.