determination of log table value
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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)
log (short for logarithm) does not actually have a value. It is actually an operation. So if you see log(10), for instance, you need to take the logarithm of the number in the parenthesis. To do that, just ask yourself "ten raised to WHAT POWER equals the number inside the parenthesis?" And log(#) = that exponent. To finish the example above, log(10) asks you 10? = 10. The answer here is 1, so log(10)=1.
If we assume a logarithm to the base e, then it is exactly 1.If we assume a logarithm to the base e, then it is exactly 1.If we assume a logarithm to the base e, then it is exactly 1.If we assume a logarithm to the base e, then it is exactly 1.
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.
The natural logarithm (ln) is used when you have log base e