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) = power 4.2897… Log of ln((3.14/2.7183)^2) = quotient to 2*ln(3.14)-2*ln(2.7183) power = 0.2871… Appendix F: of Accepted Densities (at ) S.G. (Specific S.G. (Specific Gravity) Liquids & Solids Gravity)   no 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) Brass 8.4 8.7 8.4 8.7 – – Balsa 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 power ln((3.14*2.72)^2) = 2*ln(3.14)+2*ln(2.72) = 4.2897… Log of quotient to power ln((3.14/2.7183)^2) = 2*ln(3.14)-2*ln(2.7183) = 0.2871… Appendix F: of Accepted Densities (at ) Solids  S.G. (Specific Gravity) – no 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 Brass 8.4 – 8.7 8.4 – 8.7 Balsa Wood 0.3 0.3 Oak 0.8 0.8 Earth Average
trig_physics_workbook_part_2.docx