Learn the value of log 0 to the base 10, and base e of a logarithm function along with the example. Also, learn how to derive the log 0 value at BYJU'S with example questions based on log functions.

2019年11月21日 · The logarithmic function $~\log_b(x)~$ (for any positive real number $b\ne 1$) is defined only for $~x>0~$. If possible let $~\log_b(0)=k~$ , where $~k~$ is any real number. Then by the definition of logarithm, $~b^k=0~$ .

2024年4月19日 · What is the Value of Log 0? The value of the Log 0 is not defined for any base of the logarithm. In other words, we can say that the value of Log 0 is infinity. We cannot get any power which when raised to any number gives the result 0 so, the Log of 0 is undefined.

The base b real logarithm of x when x<=0 is undefined when x is negative or equal to zero: log b (x) is undefined when x ≤ 0. See: log of negative number. Logarithm of 0. The base b logarithm of zero is undefined: log b (0) is undefined. The limit of the base b logarithm of x, when x approaches zero, is minus infinity: See: log of zero ...

No, that’s not right: no matter what the base $b$, $\log_b x$ is not defined for $x\le 0$. Recall that $\log_b x=y$ means that $b^y=x$. If $b>0$ and $b\ne 1$, no power of $b$ is negative or $0$, so the equation $b^y=x$ has no solution for $x\le 0$.

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.

What is the logarithm of zero? Why log (0) is not defined. The real logarithmic function log b (x) is defined only for x>0. We can't find a number x, so the base b raised to the power of x is equal to zero: So the base b logarithm of zero is not defined. For example the base 10 logarithm of …

零的对数是多少？为什么未定义log（0）。 实数对数函数log b （x）仅在x/ 0时定义。 我们找不到数字x，所以提高到x的幂的底数b等于零： b x = 0，x不存在. 因此，未定义以b为底的对数。 未定义日志 b （0） 例如，未定义以10为底的对数： 未定义日志 10 （0）

Find the value of Log 0 for Log function with base 10 and base e on vedantu.com. Understand and calculate the value of log 0 with solved examples. Register free for online tutoring session!

2024年11月29日 · For example, lim(x → 0+) ln(x) = -∞, which means that as x approaches 0 from the right, the natural logarithm of x approaches negative infinity. Generalized logarithmic functions : There are generalized logarithmic functions, such as the complex logarithm, that can be defined for non-positive real numbers, including 0.