SERIES FOR DETERMINING THE VALUES OF b ( ? AND ITS DERIVATIVES. 43 



LOG COEFFICIENTS "OF THE POWERS OF a. 



Powers of 



log *_ 



a 13 



, a D, (A 3 ' 



a 2 D 2 6< 13 > 



a 3 D» 6< 13 > 



a 4 Z>* iP?> 



J> Z> 5 6< 13 > 



a 





log JL-J \ 



io s y f k 



log ,*» * 

 a>(P 



log -^4^ 



a° 





-9.4913085 



+0.6052519 



+1.6844331 



+2.7258258 



+3.7258258 



+4.6800683 



a 3 





-9.1744843 



—0.2523084 



—1.8150705 



—3.0747017 



—4.2143089 



—5.2083366 



a 4 



- 



-9.0348223 



—9.6018732 



+1.1777047 



+2.9104912 



+4.2676086 



+5.4622206 



a 6 





-8.9418527 



—9.2553117 



+0.3724148 



—2.0987823 



—3.9303704 



—5.3431579 



a 8 





(-8.8708958 



—9.0083430 



+9.9250372 



—1.1660456 



+2.9963254 



+4.8835891 



a 10 





(-8.8129038 



—8.8129039 





(-9.6073958 



—0.6147041 





(-1.9709083 



—3.8541404 



a 13 





-8.7635334 



—8.6494833 





-9.3602251 



—0.2074551 





(-1.3460206 



—2.7504203 



a 1 * 





-8.7203533 



—8.5081058 





|-9.1579208 



—9.8799920 





1-0.8803458 



—2.0560178 



a 16 





-8.6818593 



—8.3829425 





(-8.9867952 



—9.6039936 



+0.5061988 



—1.5274218 



al8 





-8.6470514 



—8.2702724 





-8.8385981 



—9.3641317 



+0.1931121 



—1.0938681 



a 20 



+8.6152297 



—8.1675634 



+8.7079525 



—9.1511073 





|-9.9241505 



—0.7231561 



a 5 * 





-8.5858829 



—8.0730084 





-8.5911541 



—8.9587904 





-9.6887312 



—0.3972342 



a 2 * 





-8.5586256 



—7.9852682 





-8.4855439 



—8.7829812 





-9.4797595 



—0.1044932 



a 26 





1-8.5331590 



—7.9033201 





-8.3891496 



—8.6206213 





-9.2920344 



—9.8379853 



Powers of 



a 



a 4 Z) 3 iff) 



, « 7 Z>* &<?> 



lop; » 1 

 C' 2 



« 10 D 5 6(?) 

 log m * 



log-* 



0? D &<\°> 



log — ^- — 1 



lOg ;\ i 



a° 



+3.5504892 



+4.3286404 



+5.0276105 



+0.8692480 



+1.8692480 



+2.8235105 



a 9 



— 3.8306G91 



—4.6016417 



—5.1157465 



—0.5045488 



—1.9177604 



—3.0539393 



a* 



+3.7377454 



+4.6141274 



+5.2313061 



—9.8444969 



+1.1980561 



+2.7915914 



a 6 



—3.2929649 



—4.3721462 



—5.1327767 



—9.4902214 



+0.3103372 



—1.9019875 



Q 8 



-(-2.2695187 



+3.8149424 



+4.7877245 



—9.2368834 



+9.7814475 



—0.9091387 



a 10 





-1.1580679 



—2.7107658 



—4.1534165 



—9.0362239 





-9.3830115 



—0.3140332 



al'3 





-0.4440582 



—1.5590758 





-2.9663195 



—8.8685333 





-9.0561187 



—9.8753576 



«'* 





-9.8800815 



—0.8510769 





-1.6656694 



—8.7236808 





-8.7752576 



—9.5264328 



a 16 





-9.3916055 



—0.3358277 





-0.6207094 



—8.5957154 





-8.5267393 



—9.2366687 



a 18 





-8.9407888 



—9.9357315 



—9.5245714 



—8.4808186 





-8.3022385 



—8.9889307 



a 20 





-8.4955194 



—9.6104595 



—9.8502736 



—8.3763796 





-8.0962429 



—8.7725202 







-8.0062649 



—9.3358673 



—9.7399401 



—8.2805253 





-7.9048621 



—8.5802930 



a 2 * 





-7.2834143 



—9.0969135 



—9.5734112 



—8.1918647 





-7.7252090 



—8.4072467 



Powers of 



a 



« 4 D 3 ft' 1 , ' 



, « 6 ^6 (1 3 0) 



« 9 IP (A°> 

 log pli * 





a 2 D. 6™ 



a 3 D 2 jHJ> 



l0g ^V 



(J« 



a° 



+3.7265804 



+4.5716785 



+5.3498298 



+0.8885531 



+1.9299458 



+2.2929458 



a 3 



—4.0539393 



—4.9340801 



—5.6660997 



—0.5295311 



—1.9919291 



—3.1813628 



a* 



+3.9863590 



+4.9789846 



+5.7846840 



—9.8742256 



+1.2840853 

 +0.4070709 



+2.9336080 



a6 



—3.5554083 



—4.7512369 



—5.6867987 



—9.5239776 



—2.0531846 



a 8 



+2.5428102 



+4.2044619 



+5.3505899 



—9.2741001 



+9.8880594 



—1.0652448 



a 10 





-1.4440987 



—3.1045829 



—4.7191795 



—9.0764462 



+9.4989245 



—0.4719546 



a 13 





-0.7480065 



—1.9458065 





-3.5441036 



—8.9113903 



+9.1809532 



—0.0330568 



a" 





-0.2075078 



—1.2178904 





-2.2995123 



—8.7688663 





-8.9087975 



—9.6827036 



a 16 





-9.7529392 



—0.6736069 





-1.4527647 



—8.6429742 





-8.6689098 



—9.3909122 



(i 18 





-9.3515837 



—0.2413970 



- -0.7262120 



—8.5299345 





-8.4530947 



—9.1409322 



a 20 



+8.9837165 



—9.8857399 



+9.9690896 



—8.4271690 





-8.2559630 



—8.9222998 



a 23 



+8.6353832 



—9.5855171 



—8.1495270 



—8.3328308 





-8.0737506 



—8.7280452 



a 2 * 



1 ■ 



+8.2942457 



—9.3252488 



—9.2796660 



—8.2455500 





-7.9037041 



—8.5530938 



