The actual calculations to get a logarithm are quite complicated; in most cases you are better off if you look the logarithm up in tables, or use a scientific calculator.
The value of the common logarithm is undefined at 0.
Logarithms can be taken to any base. Common logarithms are logarithms taken to base 10; it is sometimes abbreviated to lg. Natural logarithms are logarithms taken to base e (= 2.71828....); it is usually abbreviated to ln.
The base b logarithm of x is a value y such that by = x
Yes. Logarithms to the base 10 are called common logarithms, and 2 is the correct common logarithm for 100.
determination of log table value
The value of the common logarithm is undefined at 0.
The natural logarithm is the logarithm having base e, whereThe common logarithm is the logarithm to base 10.You can probably find both definitions in wikipedia.
shorten them
Logarithms can be taken to any base. Common logarithms are logarithms taken to base 10; it is sometimes abbreviated to lg. Natural logarithms are logarithms taken to base e (= 2.71828....); it is usually abbreviated to ln.
The common logarithm (base 10) of 2346 is 3.37. The natural logarithm (base e) is 7.76.
A logarithm is the exponent to which a number called a base is raised to become a different specific number. A common logarithm uses 10 as the base and a natural logarithm uses the number e (approximately 2.71828) as the base.
There is nothing to solve because there is no = sign.
The base b logarithm of x is a value y such that by = x
part of a common logarithm
Yes. Logarithms to the base 10 are called common logarithms, and 2 is the correct common logarithm for 100.
Hopefully you ticked that "Calculus" category by mistake. What are you asking? The logarithm with a base of y 2.1 or the logarithm of some other base (10?) and 2.1 times y? Either way, there's no way to solve for the value of y. You can, however, algebraically rearrange to solve for y itself (again, not the value. There is no numerical final result). You would need to know the base though. This isn't clear in your question. Is it log_y(2.1) [as in the base is y?]?
Saying that "X is the common logarithm of N" means that 10 raised to the power of X is N, or 10X = N. For instance, the common logarithm of 100 is 2, of 1000 is 3, and of 25 is about 1.398.