Some other Log Values

Some other values of logarithm with base e and 10 are listed in the following table:

Number (x) ln (x) or loge x log (x) or log10 x
1 0 0
2 0.693147 0.30103
e 1 0.43429
3 1.098612 0.47712
4 1.386294 0.60206
5 1.609438 0.69897
6 1.791759 0.77815
7 1.94591 0.84510
8 2.079442 0.90309
9 2.197225 0.95424
10 2.302585 1.00000

Value of Log 0

Value of log 0 is undefined. It is not a real number as we can never get zero by raising any power of any number. This can never be reached to zero but can be approached using negative power or infinitely large value. In this article, we will discuss the value of Log 0 along with basic understanding of logarithms. We will also discuss how to derive Log 0 both Log10 0 and Loge 0.

Similar Reads

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. There is no value of b and x that satisfies the expression bx = 0 where b is the base of Log and x is the value of log function...

What is Logarithm?

A logarithm is the inverse operation of the exponential function. The logarithm functions are denoted as f(x) = logb z where b is the base of the logarithm and z is the number. The formula for converting the logarithm to exponent is given as:...

How to Derive Value of Log 0

To derive the value of Log 0 we use the fundamental formula of conversion of logarithm to exponent or vice versa i.e., xa = q ⇔ a = logx q. The value of Loge 0 and Log10 0 both are not defined as we cannot have any number whose any power is equivalent to 0....

Some other Log Values

Some other values of logarithm with base e and 10 are listed in the following table:...

Conclusion

In conclusion, value of log 0 in any base is not defined either it is common or natural. Logarithms are an important concept in math because they provide a powerful tool for simplifying calculations involving exponential growth, expressing relationships between quantities with different scales, and solving equations involving exponential functions....

FAQs on Value of Log 0

What is the value of log 0?...

Contact Us