Log of ln(3.14*2.72) = products ln(3.14)+ln(2.72) = 2.1448… Log of ln(3.14/2.72) = quotients = 0.1435… Log of ln((3.14^2)^3) = powers to 2*3*ln(3.14) = 6.8653… powers Log of ln((3.14*2.72)^2) = product to 2*ln(3.14)+2*ln(2.72) = 4.2897… Log of ln((3.14/2.7183)^2) = quotient to 2*ln(3.14)-2*ln(2.7183) = 0.2871… Appendix F: Table of Accepted Densities (at ) S.G. (Specific S.G. (Specific Gravity) Liquids & Solids Gravity)   no units Gases – no – units Mercury Gold (Au) 19.3 19.3 13.6 13.6 (Hg) Lead (Pb) 11.3 11.3 Water 1.0 1.0 Silver 10.5 10.5 Oil 0.9 0.9 (Ag) Copper 8.9 8.9 Alcohol 0.8 0.8 (Cu) 1.125 1.125 (32°F) (32°F) Steel (Fe) 7.8 7.8 Antifreeze 1.098 1.098 (77°F) (77°F) Tin (Sn) 7.29 7.29 Air Zinc (Zn) 7.14 7.14 Hydrogen 9.0*10-5 9.0*10-5 Aluminum 2.7 2.7 Oxygen (Al) 8.4 8.7 8.4 8.7 – – 0.3 0.3 Wood Oak 0.8 0.8 Earth Average
Log of products ln(3.14*2.72) = ln(3.14)+ln(2.72) = 2.1448… Log of quotients ln(3.14/2.72) = = 0.1435… Log of powers to powers ln((3.14^2)^3) = 2*3*ln(3.14) = 6.8653… Log of product to ln((3.14*2.72)^2) = 2*ln(3.14)+2*ln(2.72) = 4.2897… Log of quotient to ln((3.14/2.7183)^2) = 2*ln(3.14)-2*ln(2.7183) = 0.2871… Appendix F: Table of Accepted Densities (at ) Solids  S.G. (Specific Gravity) – no units Liquids & Gases  S.G. (Specific Gravity) – no units Gold (Au) 19.3 19.3 Mercury (Hg) 13.6 13.6 Lead (Pb) 11.3 11.3 Water 1.0 1.0 Silver (Ag) 10.5 10.5 Oil 0.9 0.9 Copper (Cu) 8.9 8.9 Alcohol 0.8 0.8 Steel (Fe) 7.8 7.8 Antifreeze 1.125 (32°F) 1.098 (77°F) 1.125 (32°F) 1.098 (77°F) Tin (Sn) 7.29 7.29 Air Zinc (Zn) 7.14 7.14 Hydrogen 9.0*10-5 9.0*10-5 Aluminum (Al) 2.7 2.7 Oxygen 8.4 – 8.7 8.4 – 8.7 Wood 0.3 0.3 Oak 0.8 0.8 Earth Average
calc_physics_workbook_part_2.docx