Plane trigonometry, by S.L. Loney.

EXAMPLES OF LOGARITHMS. 155
In the table of logarithms we find, opposite the number 234, the
logarithm 3692159.
Hence log 23 =1'3692159.
Therefore log x = [1'3692159] = -2738432.
Again in the table of logarithms we find, corresponding to the logarithm
2738432, the number 187864, so that
log 1-87864 = 2738432... x=1-87864.
Ex. 2. Find the value of
(6 45)3 x / 00034
(9'37)2 x /8 93
Let x be the required value so that, by Arts. 138 and 139,
log x = log (6-45)3 + log (-00034)3 - log (9-37)2 - log /8-93
1 11
=3 log (6-45) + - log (-00034)- 2 log (9 37) - log 8-93.
Now in the table of logarithms we find
opposite the number 645 the logarithm 8095597,
34,,,, 5314789,,,,,,, 937,,,, 9717396,
893,,, 9508515.
Hence
1
logs=3 x *8095597 + (4 5314789)
- 2 x '9717396 - x -9508515.
4
But 1 (4 5314789) =1 [6 + 2-5314789]
3 3
=2+ '8438263.. log x= 2-4286791 + [2 + -8438263] - 1-9434792 - '2377129
= 3-2725054 - 4-1811921
=1 + 42725054 - 4-1811921
=1-0913133.