\fdO'^ - Old Forge Coal Mines

l^OGARITHMS. 139
.6602
-3
— 1.9806 = characteristic.
Adding, .41147
-1.9806
2.4 3 08 7 (See Art. 659.)
Then, log = 5-37658 - 2.43087 = 6.94571 =
( ^^0^42.;?,?^ )
6 945*^1
74 log x; whence, log ;r = = 9.38609. Number
whose logarithm = 9.38609 is 2,432,700,000 = x. Ans.
(262) Log .00743 = 3.87099.
log .006 =3.77815.
f .00743 = log .00743 -r- 5 (Art. 662), and :v^T006 = log
.006 -7-. 6. Since these numbers are wholly decimal, we
apply Art. 663.
5 ) 3.8 7 09 9
1.5 7 41 9 = log -J/.00743.
The characteristic 3 will not contain 5. We then add 2
to it, making 5. 5 is contained in 5, 1 times. Hence, the
characteristic is 1. Adding the same number, 2,
to the
mantissa, we have 2.87099. 2.87099 ^ 5 = .57419. Hence,
log t^. 00743 =1.57419.
.6) 3. 77815 .6 is contained in 3, — 5 times.
5. . 6 is contained in . 77815,
1.29691
sum = — 4.29691 = 4^.006.
Log -^Z. 00743 = 1.57419
log t^^006
=4.29691
Number corresponding = 1,893.6.
1. 29691 times.
difference = 3.27728 = log of quotient.
Hence, -^.00743 -r- ^^^006 = 1,893.6. Ans.