id: 06664742 dt: j an: 2016f.00932 au: Reed, Cameron ti: Computing logarithms by hand. so: Math. Teach. (Reston) 109, No. 8, 633-636 (2016). py: 2016 pu: National Council of Teachers of Mathematics (NCTM), Reston, VA la: EN cc: F50 N50 ut: logarithms; numbers; mathematical concepts; interpolation ci: li: http://www.nctm.org/Publications/Mathematics-Teacher/2016/Vol109/Issue8/Computing-Logarithms-by-Hand/ ab: Summary: How can old-fashioned tables of logarithms be computed without technology? Today, of course, no practicing mathematician, scientist, or engineer would actually use logarithms to carry out a calculation, let alone worry about deriving them from scratch. But high school students may be curious about the process. This article develops a straightforward technique for computing common logarithms by establishing a few successive square roots of 10. Because the logarithms of these values are by definition just the power to which 10 has been taken (\$1/2\$, \$1/4\$, \$1/8\$, etc.), these values can be used to construct a table of logarithms in which the increment in the logarithm is \$1/2^N\$, where \$N\$ is the number of square roots computed. By interpolating between these accurately computed points, we can build a standard log table. This method should help reinforce rules of logarithms and powers for students. (ERIC) rv: