Computing Logarithms Digit-by-Digit

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Bibliographic Details
Title: Computing Logarithms Digit-by-Digit
Language: English
Authors: Goldberg, Mayer
Source: International Journal of Mathematical Education in Science & Technology. Jan 2005 37(1):109-114.
Availability: Customer Services for Taylor & Francis Group Journals, 325 Chestnut Street, Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420 (Toll Free); Fax: 215-625-8914.
Peer Reviewed: Y
Page Count: 6
Publication Date: 2005
Document Type: Journal Articles
Numerical/Quantitative Data
Reports - Descriptive
Education Level: High Schools
Descriptors: Numbers, Calculus, Calculators, Mathematical Concepts, Computation, Equations (Mathematics), High Schools, Secondary School Mathematics
ISSN: 0020-739X
Abstract: In this work, we present an algorithm for computing logarithms of positive real numbers, that bears structural resemblance to the elementary school algorithm of long division. Using this algorithm, we can compute successive digits of a logarithm using a 4-operation pocket calculator. The algorithm makes no use of Taylor series or calculus, but rather exploits properties of the radix-d representation of a logarithm in based. As such, the algorithm is accessible to anyone familiar with the elementary properties of exponents and logarithms.
Abstractor: Author
Number of References: 2
Entry Date: 2006
Access URL: https://taylorandfrancis.metapress.com/link.asp?target=contribution&id=V3NM57836587M370
Accession Number: EJ729379
Database: ERIC
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  Data: In this work, we present an algorithm for computing logarithms of positive real numbers, that bears structural resemblance to the elementary school algorithm of long division. Using this algorithm, we can compute successive digits of a logarithm using a 4-operation pocket calculator. The algorithm makes no use of Taylor series or calculus, but rather exploits properties of the radix-d representation of a logarithm in based. As such, the algorithm is accessible to anyone familiar with the elementary properties of exponents and logarithms.
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