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Logarithm Seen as the Size of a Number

n (base 10)

1000000000000000000

base b	n in base b	size	log b (n)

2	110111100000101101101011001110100111011001000000000000000000	60	59.8
3	20122212221021011100201020220212020001	38	37.7
4	313200231223032213121000000000	30	29.9
5	31342034000000000000000000	26	25.8
6	113330222253555304325344	24	23.1
7	1535044306544330041531	22	21.3
8	67405553164731000000	20	19.9
9	6585837140636825201	19	18.9
10	1000000000000000000	19	18.0
11	1a84348aa410860841	18	17.3
12	54aa47a3574473854	17	16.7
13	166c8ca04ac007561	17	16.2
14	65dc814365c9c688	16	15.7
15	243c52ed18d8146a	16	15.3
16	de0b6b3a7640000	15	14.9
17	5fg67435a4caa6f	15	14.6
18	2c07d704ff80bda	15	14.3
19	14ef7eae3e3c9f1	15	14.1
20	c42g5000000000	14	13.8
21	69ji9gc3985af1	14	13.6
22	3bh8febj1lf4ic	14	13.4
23	1mec30ca2gabm9	14	13.2
24	13940h0lf3an2g	14	13.0
25	gjaj000000000	13	12.9

This Demonstration illustrates the fact that the logarithm of a number is its size.

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