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1911•Mathematical NotesOpen access

A method of calculating logarithms, using merely the ordinary laws of indices

W. Vaughan Johnston

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Abstract

To determine logarithms to the base 1·1.—If N = ax, x is the logarithm of N to the base a. Hence, if N = 1·1x, x is the logarithm of N to the base 1·1, and, by plotting different values of x with the corresponding values of N, a logarithmic curve may be drawn. This curve will furnish an approximate logarithm of any number to the base 1·1.

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To determine logarithms to the base 1·1.—If N = ax, x is the logarithm of N to the base a. Hence, if N = 1·1x, x is the logarithm of N to the base 1·1, and, by plotting different values of x with the corresponding values of N, a logarithmic curve may be drawn. This curve will furnish an approximate logarithm of any number to the base 1·1.

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Available abstract

To determine logarithms to the base 1·1.—If N = ax, x is the logarithm of N to the base a. Hence, if N = 1·1x, x is the logarithm of N to the base 1·1, and, by plotting different values of x with the corresponding values of N, a logarithmic curve may be drawn. This curve will furnish an approximate logarithm of any number to the base 1·1.

Key concepts: Logarithm, Mathematics, Base (topology), Iterated logarithm, Natural logarithm, Applied mathematics, Mathematical analysis

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