log(36,200) = 4.558709 (rounded)
log[log(36,200)] = 0.658842 (rounded)
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Common
Yes. Logarithms to the base 10 are called common logarithms, and 2 is the correct common logarithm for 100.
The natural logarithm (ln) is used when you have log base e
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.
Yes. The logarithm of 1 is zero; the logarithm of any number less than one is negative. For example, in base 10, log(0.1) = -1, log(0.01) = -2, log(0.001) = -3, etc.