Calculate a Logarithm List

Calculator for a list of logarithms. A table with logarithmic values with changing input values [log_b(a)] or bases [log_a(b)] will be displayed in a table. For the logarithm term b, usually a number is sufficient. Apart from that, the same input rules as at a sequence apply, with i as variable in the input field. a is the counting variable that runs from m to n. For the boundary values m and n, as well for the step, integers or fractions with up to 9 decimal places can be entered, whereas m must be smaller than n.

Examples:

• log₂(a) calculates the values of the binary logarithm.
• log_a(2) calculates the different logarithms of the number 2. In this case, you should set m=2, because there is no logarithm to the base 1.

Logarithms are often needed when numbers can have a wide range of values, meaning they can be both very small and very large. The base 2 logarithm was already known in ancient India. Modern logarithms developed in the early modern period. The Scottish mathematician John Napier is particularly important here; in 1614 he published a book containing numerous logarithm tables. This played a significant role, particularly in the navigation of sailing ships on the oceans. These logarithms are also cited as one of the main reasons why calculating in the decimal system became common. Logarithms are now used in many areas; for more information, see logarithmic scales. However, with logarithmic values it is important to state or note that they are logarithmic if this is not entirely clear, as otherwise misinterpretations can occur. For example, 10 is twice 5 if you're not using a logarithmic system. However, if you're calculating in base 10 logarithms, 10 is one hundred thousand times 5.