Making a Logarithm Table

	A	B	D	E	G	H	J	K	M	N	P	Q	S	T	V	W	Y	Z
1	A logarithm table is made from an arithmetic sequence, generated by repeatedly adding a number,
2	paired with a geometric sequence, generated by repeatedly multiplying a number.
3	This spreadsheet starts by adding by 1's (column A) and multiplying by 10s (column B).
4	Then the sequences are split halfway in between.
5	"Halfway between" for addition is the average, or mean: add, then divide by 2.
6	"Halfway between" for multiplication is the geometric mean: multiply, then take the square root.
7	The result is more detailed arithmetic and geometric sequences containing the first ones.
8
9	See the second tab, below, for how to use logarithm tables for calculations.
10
11	See the website Mathematical Intentions for a more complete explanation:
12			1 split		2 splits		3 splits		4 splits		5 splits		4 splits		5 splits		6 splits
13	Adding column	Multiplying column	Adding	Multiplying	Adding	Multiplying	Adding	Multiplying	Adding	Multiplying	Adding	Multiplying	Adding	Multiplying	Adding	Multiplying	Adding	Multiplying
14	(arithmetic sequence)	(geometric sequence)
15	Increment:	Factor:	Increment:	Factor:	Increment:	Factor:	Increment:	Factor:	Increment:	Factor:	Increment:	Factor:	Increment:	Factor:	Increment:	Factor:	Increment:	Factor:
16	1	10	0.5	3.16227766	0.25	1.77827941	0.125	1.333521432	0.0625	1.154781985	0.03125	1.074607828	0.015625	1.036632928	0.0078125	1.018151722	0.00390625	1.009035045
17
18	0	1	0	1	0	1	0	1	0	1	0	1	0	1	0	1	0	1
19	1	10	0.5	3.16227766	0.25	1.77827941	0.125	1.333521432	0.0625	1.154781985	0.03125	1.074607828	0.015625	1.036632928	0.0078125	1.018151722	0.00390625	1.009035045
20	2	100	1	10	0.5	3.16227766	0.25	1.77827941	0.125	1.333521432	0.0625	1.154781985	0.03125	1.074607828	0.015625	1.036632928	0.0078125	1.018151722
21	3	1000	1.5	31.6227766	0.75	5.623413252	0.375	2.371373706	0.1875	1.539926526	0.09375	1.240937761	0.046875	1.11397386	0.0234375	1.055449601	0.01171875	1.027350768
22	4	10000	2	100	1	10	0.5	3.16227766	0.25	1.77827941	0.125	1.333521432	0.0625	1.154781985	0.03125	1.074607828	0.015625	1.036632928
23	5	100000	2.5	316.227766	1.25	17.7827941	0.625	4.216965034	0.3125	2.053525026	0.15625	1.43301257	0.078125	1.19708503	0.0390625	1.094113811	0.01953125	1.045998953
24	6	1000000	3	1000	1.5	31.6227766	0.75	5.623413252	0.375	2.371373706	0.1875	1.539926526	0.09375	1.240937761	0.046875	1.11397386	0.0234375	1.055449601
25	7	10000000	3.5	3162.27766	1.75	56.23413252	0.875	7.498942093	0.4375	2.738419634	0.21875	1.6548171	0.109375	1.286396945	0.0546875	1.134194404	0.02734375	1.064985635
26	8	100000000	4	10000	2	100	1	10	0.5	3.16227766	0.25	1.77827941	0.125	1.333521432	0.0625	1.154781985	0.03125	1.074607828
27	9	1000000000			2.25	177.827941	1.125	13.33521432	0.5625	3.651741273	0.28125	1.910952975	0.140625	1.382372227	0.0703125	1.175743266	0.03515625	1.084316958
28	10	10000000000			2.5	316.227766	1.25	17.7827941	0.625	4.216965034	0.3125	2.053525026	0.15625	1.43301257	0.078125	1.19708503	0.0390625	1.094113811
29	11	100000000000			2.75	562.3413252	1.375	23.71373706	0.6875	4.869675252	0.34375	2.206734069	0.171875	1.485508017	0.0859375	1.218814185	0.04296875	1.103999178
30	12	1000000000000			3	1000	1.5	31.6227766	0.75	5.623413252	0.375	2.371373706	0.1875	1.539926526	0.09375	1.240937761	0.046875	1.11397386
31	13	10000000000000			3.25	1778.27941	1.625	42.16965034	0.8125	6.493816316	0.40625	2.548296748	0.203125	1.596338544	0.1015625	1.263462918	0.05078125	1.124038664
32	14	100000000000000			3.5	3162.27766	1.75	56.23413252	0.875	7.498942093	0.4375	2.738419634	0.21875	1.6548171	0.109375	1.286396945	0.0546875	1.134194404
33	15	1E+15			3.75	5623.413252	1.875	74.98942093	0.9375	8.659643234	0.46875	2.942727176	0.234375	1.715437896	0.1171875	1.309747264	0.05859375	1.144441901
34					4	10000	2	100	1	10	0.5	3.16227766	0.25	1.77827941	0.125	1.333521432	0.0625	1.154781985
35							2.125	133.3521432			0.53125	3.398208329	0.265625	1.843422992	0.1328125	1.357727142	0.06640625	1.165215492
36							2.25	177.827941			0.5625	3.651741273	0.28125	1.910952975	0.140625	1.382372227	0.0703125	1.175743266
37							2.375	237.1373706			0.59375	3.924189758	0.296875	1.980956779	0.1484375	1.407464663	0.07421875	1.186366159
38							2.5	316.227766			0.625	4.216965034	0.3125	2.053525026	0.15625	1.43301257	0.078125	1.19708503
39							2.625	421.6965034			0.65625	4.531583638	0.328125	2.128751662	0.1640625	1.459024216	0.08203125	1.207900747
40							2.75	562.3413252			0.6875	4.869675252	0.34375	2.206734069	0.171875	1.485508017	0.0859375	1.218814185
41							2.875	749.8942093			0.71875	5.232991147	0.359375	2.2875732	0.1796875	1.512472545	0.08984375	1.229826226
42							3	1000			0.75	5.623413252	0.375	2.371373706	0.1875	1.539926526	0.09375	1.240937761
43							3.125	1333.521432			0.78125	6.042963902	0.390625	2.458244069	0.1953125	1.567878844	0.09765625	1.252149689
44							3.25	1778.27941			0.8125	6.493816316	0.40625	2.548296748	0.203125	1.596338544	0.1015625	1.263462918
45							3.375	2371.373706			0.84375	6.978305849	0.421875	2.64164832	0.2109375	1.625314837	0.10546875	1.274878362
46							3.5	3162.27766			0.875	7.498942093	0.4375	2.738419634	0.21875	1.6548171	0.109375	1.286396945
47							3.625	4216.965034			0.90625	8.058421878	0.453125	2.838735965	0.2265625	1.684854879	0.11328125	1.298019599
48							3.75	5623.413252			0.9375	8.659643234	0.46875	2.942727176	0.234375	1.715437896	0.1171875	1.309747264
49							3.875	7498.942093			0.96875	9.305720409	0.484375	3.05052789	0.2421875	1.746576048	0.12109375	1.32158089
50							4	10000			1	10	0.5	3.16227766	0.25	1.77827941	0.125	1.333521432
51													0.515625	3.278121151	0.2578125	1.810558243	0.12890625	1.345569858
52													0.53125	3.398208329	0.265625	1.843422992	0.1328125	1.357727142
53													0.546875	3.522694651	0.2734375	1.876884294	0.13671875	1.369994268
54													0.5625	3.651741273	0.28125	1.910952975	0.140625	1.382372227
55													0.578125	3.785515249	0.2890625	1.945640062	0.14453125	1.394862022
56													0.59375	3.924189758	0.296875	1.980956779	0.1484375	1.407464663
57													0.609375	4.067944321	0.3046875	2.016914555	0.15234375	1.42018117
58													0.625	4.216965034	0.3125	2.053525026	0.15625	1.43301257
59													0.640625	4.371444813	0.3203125	2.090800041	0.16015625	1.445959903
60													0.65625	4.531583638	0.328125	2.128751662	0.1640625	1.459024216
61													0.671875	4.697588817	0.3359375	2.16739217	0.16796875	1.472206565
62													0.6875	4.869675252	0.34375	2.206734069	0.171875	1.485508017
63													0.703125	5.048065717	0.3515625	2.246790092	0.17578125	1.498929649
64													0.71875	5.232991147	0.359375	2.2875732	0.1796875	1.512472545
65													0.734375	5.424690937	0.3671875	2.329096592	0.18359375	1.526137803
66													0.75	5.623413252	0.375	2.371373706	0.1875	1.539926526
67													0.765625	5.829415347	0.3828125	2.414418221	0.19140625	1.553839831
68													0.78125	6.042963902	0.390625	2.458244069	0.1953125	1.567878844
69													0.796875	6.264335367	0.3984375	2.502865431	0.19921875	1.582044699
70													0.8125	6.493816316	0.40625	2.548296748	0.203125	1.596338544
71													0.828125	6.731703824	0.4140625	2.594552721	0.20703125	1.610761535
72													0.84375	6.978305849	0.421875	2.64164832	0.2109375	1.625314837
73													0.859375	7.233941627	0.4296875	2.689598786	0.21484375	1.63999963
74													0.875	7.498942093	0.4375	2.738419634	0.21875	1.6548171
75													0.890625	7.773650302	0.4453125	2.788126665	0.22265625	1.669768447
76													0.90625	8.058421878	0.453125	2.838735965	0.2265625	1.684854879
77													0.921875	8.35362547	0.4609375	2.89026391	0.23046875	1.700077619
78													0.9375	8.659643234	0.46875	2.942727176	0.234375	1.715437896
79													0.953125	8.976871324	0.4765625	2.996142741	0.23828125	1.730936955
80													0.96875	9.305720409	0.484375	3.05052789	0.2421875	1.746576048
81													0.984375	9.646616199	0.4921875	3.105900224	0.24609375	1.762356441
82													1	10	0.5	3.16227766	0.25	1.77827941
83															0.5078125	3.219678444	0.25390625	1.794346244
84															0.515625	3.278121151	0.2578125	1.810558243
85															0.5234375	3.337624694	0.26171875	1.826916718
86															0.53125	3.398208329	0.265625	1.843422992
87															0.5390625	3.459891661	0.26953125	1.860078402
88															0.546875	3.522694651	0.2734375	1.876884294
89															0.5546875	3.586637624	0.27734375	1.893842027
90															0.5625	3.651741273	0.28125	1.910952975
91															0.5703125	3.718026664	0.28515625	1.928218521
92															0.578125	3.785515249	0.2890625	1.945640062
93															0.5859375	3.854228869	0.29296875	1.963219007
94															0.59375	3.924189758	0.296875	1.980956779
95															0.6015625	3.995420559	0.30078125	1.998854812
96															0.609375	4.067944321	0.3046875	2.016914555
97															0.6171875	4.141784514	0.30859375	2.035137468
98															0.625	4.216965034	0.3125	2.053525026
99															0.6328125	4.29351021	0.31640625	2.072078717
100															0.640625	4.371444813	0.3203125	2.090800041