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The natural logarithm is the logarithm having base e, where

The common logarithm is the logarithm to base 10.

It really depends on the question!

Maybe you should check out the examples!

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The common, or Base-10, logarithm will cover any multiplication, division and power arithmetic in the ordinary numbers, which are to base-10. It is also the base for the logarithmic ratio defining the decibel scale used in acoustics and electrical signals analysis.

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The natural logarithm (base-e) underlies a large number of specific scientific laws and purposes, such as the expansion of gas in a cylinder.

Q: Should you use the common logarithm or the natural logarithm?

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LN is typically the syntax used to represent the natural logarithm function. Although some programming languages and computer applications use LOG to represent this function, most calculators and math textbooks use LN. In use, it would look like this:y=ln(x)Which reads as "y equals the natural logarithm of x".The natural logarithm is a logarithm that has a base of e, Euler's number, which is a mathematical constant represented by a lowercase italic e (similar to how pi is a constant represented by a symbol). Euler's number is approximately equal to 2.718281, although it continues on far past six decimal places.Functionally, the natural logarithm can be used to solve exponential equations and is very useful in differentiating functions that are raised to another function. Typically, when the solution to an equation calls for the trivial use of a logarithm (that is the logarithm is only being used as a tool to rewrite the equation), either the natural logarithm or the common logarithm (base 10) is used.

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.

should we use natural gas and oil

If you are using a scientific calculator you will have a key labelled "log". To find the logarithm (to base 10) of a number, simply enter "log" followed by the number that you want to log. If you want a natural logarithm - log to the base e - use the "ln" key instead. If you haven't got a scientific calculator, use the one on your computer.

Natural logarithms use base e (approximately 2.71828), common logarithms use base 10.

One way to find log values without a logarithm book is to use the properties of logarithms. If you have a base and an exponent equal to a number, you can rewrite it in logarithmic form. Another method is to use a calculator or online tool to compute the log value of a number.

You can use the change of base formula which is: logxb logab=--------- logxa

well it is safer dah

Here is an excellent link upon this subject. http://www.oldcomputers.arcula.co.uk/bhist3.htm

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)

In the real numbers, the logarithm is only defined for positive numbers. The logarithm of zero or a negative number is undefined. (For calculators who work with complex number, only the logarithm of zero is undefined.) This follows from the definition of the logarithm, as the solution of: 10x = whatever "Whatever" is the number of which you want to calculate the logarithm. Since 10x is always positive, that means you can't find an "x" such that the power results in a negative number, or in zero. The same applies if you use a base other than 10, for example the number e = 2.718...

u cant... next question like a boss. You can use them for engeneering and banking.