Lecture 22 1. Take look at the Appendix. From page 58 to page 83, you can view Napier's construction tables. 2. Write a short history of slide rules. 3. Napier's

logarithm Nap.log can be related to the natural logarithm In = log.: \text { Nap.bg } a=10^{7} \ln \frac{10^{7}}{4} ^^20Show^^20that^^20Nap.log^^20(2y)=^^20Nap.log^^20x+^^20Nap.log^^20y-^^20Nap.log^^201. 4. Briggs's logarithm is related to Napier's logarithm by the following formula: \log x=\frac{\operatorname{Nan} \log 1-\operatorname{Nap} \log x}{N \cos \log 1-\operatorname{Nap} \cdot \log 10^{\circ}} Prove: log 1 = 0, log 10 = 1 and \log (x y)=\log x+\log y