logarithm of 100 = 2. If there is not a subscript number on your log, you assume it to be 10. In other words, the little subscript would be the base if you were raising it to a power, and the big number is the answer of the power. For example, log (base 10) 100 = 2 because 10 (the base) raised to a power of 2 (the log answer) = 100 (the number you just took the log of.)
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Usually it is, yes. Of course, in some special cases the result of taking a logarithm is rational - such as taking the base-10 logarithm of 100.
Yes. Logarithms to the base 10 are called common logarithms, and 2 is the correct common logarithm for 100.
The logarithm to the base 10 of 100 is 2, because 102 = 100.
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 logarithm of a number is another number which, if used as the exponent of a third number, yields the first number.The third number is called the base. Usually, it is 10 (common logarithm) or e (2.71828..., natural logarithm).As an example, the common logarithm of 100 is 2. This meets the equation...102 = 100... whereas the natural logarithm of 100 is about 4.61...2.718284.61 = (about) 100One useful function of logarithms is in the multiplication of numbers. If you want to multiply two numbers, you can either just multiply them, or you can add their logarithms together and do the inverse logarithm (power) of the result. For instance...10 * 100 = 1000log10 10 = 1log10 100 = 21 + 2 = 3103 = 1000This technique is used in slide rules, and it can also be used visually, to come up with a rough estimate of the product of two numbers.