Computing Logarithms Digit-by-Digit
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| 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 |
| 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. |
|---|---|
| ISSN: | 0020-739X |
