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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.

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Q: What does it mean to say that x is the common logarithm of N?
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What is the notation for a logarithm with base 10?

The logarithm of a number with base=B is written as [ logB(N) ].If the base is 10, it's called the "common logarithm" of N and the base isn't written. [ log(N) ].If the base is 'e', it's called the "natural logarithm" of N, and written [ ln(N) ].


What is a common logarithm?

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.


What is log base 2?

If a^x = n, where a is a positive real number other than 1 and x is a rational number then logarithm is defined as, logarithm of n to the base a is x. Then is written as log n base a = x.


What is the application of logarithm and anti logarithm?

The main use for a logarithm is to find an exponent. If N = a^x Then if we are told to find that exponent of the base (b) that will equal that value of N then the notation is: log N ....b And the result is x = log N ..........b Such that b^x = N N is often just called the "Number", but it is the actuall value of the indicated power. b is the base (of the indicated power), and x is the exponent (of the indicated power). We see that the main use of a logarithm function is to find an exponent. The main use for the antilog function is to find the value of N given the base (b) and the exponent (x)


What is the anti log of 36?

anti-log 36 is base36 Without any qualification "log n" is the "logarithm to any base of n"; though it is often used for common logs, or logs to base 10 (log10 n), which is often abbreviated to lg. On a calculator, the [log] button is used for common logs to base 10, so anti-log 36 = 1036


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What mathematician is credited for first using Ln to abbreviate natural logarithm?

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