Algebra/Trig Review - Pauls Online Math Notes - Lamar University

Algebra/Trig Reviewln x=log x This log is called the natural logarithmelog x=log x This log is called the common logarithm10The e in the natural logarithm is the same e used in Problem 2 above. The commonlogarithm and the natural logarithm are the logarithms are encountered more oftenthan any other logarithm so the get used to the special notation and special names.The work required to evaluate the logarithms in this set is the same as in problem inthe previous problem.13 13 3(a) ln e = becausee = e33(b) log1000 = 3 because 10 = 10001(c) log1616 = 1 because 16 = 160(d) log231 = 0 because 23 = 1155(e) log7232 = because 32 = 32 = ( 2 ) = 271 57 7 7 7Logarithm PropertiesComplete the following formulas.1. log bb =Solution1log b= b1 becauseb = b2. log 1 b=Solutionlog 1 = 0 because0b = 1bx3. log b = b4.Solutionxlog = xb blog b xb =© 2006 Paul Dawkins 86http://tutorial.math.lamar.edu/terms.aspx