Introduction to Use of Logarithms

Introduction to Use of Logarithms
By Eugene L. Richards Introduction Art. 1. Defs.--The logarithm of any proposed number is the exponent of the power to which some fixed number must be raised in order to equal the proposed number. A system of logarithms is, therefore, a system of powers of some fixed number. The fixed number is the base of the system. The system of logarithms which is used in this book is Brigg's "System," or the common system of logarithms, and has 10 for its base. Thus: 102=100, 2 is the logarithm of 100 to the base 10. Or, 2=log.100, "to the base 10" being understood. 2. The logarithm of 1 is 0. For--1=10/10=101-1=100. 3. The logarithm of 10, or the logarithm of the base is 1. For--101=10. Applying fractional exponents to the first member of this equation, and extracting the square root of the second member, we have... ------------------------------------------------------------------------------------------------------------------------------------------ Windham Press is committed to bringing the lost cultural heritage of ages past into the 21st century through high-quality reproductions of original, classic printed works at affordable prices. This book has been carefully crafted to utilize the original images of antique books rather than error-prone OCR text. This also preserves the work of the original typesetters of these classics, unknown craftsmen who laid out the text, often by hand, of each and every page you will read. Their subtle art involving judgment and interaction with the text is in many ways superior and more human than the mechanical methods utilized today, and gave each book a unique, hand-crafted feel in its text that connected the reader organically to the art of bindery and book-making. We think these benefits are worth the occasional imperfection resulting from the age of these books at the time of scanning, and their vintage feel provides a connection to the past that goes beyond the mere words of the text.