N.
Log.
N.
Log.
1.00009 000039083266 1.000009 000003908628
1.00008 000034740691 1.000008 000003474338
1.00007 000030398072 1.000007 000003040047
1.00006 000026055410 1.000006 000002605756
1.00005 000021712704 1.000005 000002171464
1.00004 000017371430 1.000004 000001737173
1.00003 000013028638 1.000003 000001302880
1.00002 000008685802 1.000002
1.00001 000004342923 1.000001

000000868587

000000434294

1.0000001 000000043429 (n)

1.00000001 000000004343 (0) 1.000000001000000000434 (p) 1.0000000001|000000000043 (q)

m=0.4342944819 log. -1.637784298.

By the preceding tables-and the auxiliaries A, B, and C, we can find the logarithm of any number, true to at least ten decimal places.

But some may prefer to use the following direct formula, which may be found in any of the standard works on algebra:

Log. (z+1)=log.z+0.8685889638 8 (22 + 1 )

The result will be true to twelve decimal places, if z be

over 2000.

The log. of composite numbers can be determined by the combination of logarithms, already in the table, and the prime numbers from the formula.

Thus, the number 3083 is a prime number, find its logarithm.

We first find the log. of the number 3082. By factoring, we discover that this is the product of 46 into 67.

1.7581226

5.3144251

Arc of any circle equal to the radius =57°29578
Arc equal to radius expressed in sec. =206264′′8
Length of a degree, (radius unity)=.01745329 -2.2418773

= 43200

12 hours expressed in seconds, 4.6354837 Complement of the same, =0.00002315 -5.3645163 360 degrees expressed in seconds, = 1296000 6.1126050

A gallon of distilled water, when the temperature is 62° Fahrenheit, and Barometer 30 inches, is 277.24 cubic inches.

The French Metre 3.2808992, English feet linear measure, 39.3707904 inches, the length of a pendulum vibrating' seconds.