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\fdO'^ - Old Forge Coal Mines

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140 LOGARITHMS.<br />

(263) Apply rule, Art. 647.<br />

Log 1,728 = 3.23754<br />

log .00024 = 4.38021<br />

log .7462 = 1.87286<br />

log 302.1 = 2.48015<br />

log 7.6094= .88135<br />

sum = 2.85211 =<br />

log (1, 728 X. 00024 X. 7462X302. 1x7. 6094).<br />

logarithm is 2.85211 = 711.40, the product.<br />

(264) Log 4/5.954= .77481-4- 2 = .38741<br />

Then, ^ '<br />

log 4^61.19 = 1.78668 -4- 3 = .59556<br />

sum= .98297<br />

Number whose<br />

Ans.<br />

log ^298.54 = 2.47500 ^ 5 = .49500.<br />

4/5.954 X ' ' ^61.19 _ = ,^ log (/5.954 X — 4/GI.I9) log<br />

4/298.54<br />

t^298.54 = .98297 - .49500 = .48797 = logarithm of the<br />

required result.<br />

Number corresponding = 3.0759. Ans.<br />

(265) 4/. 0532864 = log .0532864 ~ 7.<br />

Log .0532864 = 2.72661.<br />

Adding 5 to characteristic 2 = 7.<br />

Adding 5 to mantissa = 5.72662.<br />

7^7 = 1.<br />

5.72661 -4- 7 = .81809, nearly.<br />

Hence, log 4/. 0532864 = 1.818^9.<br />

Number corresponding to log 1.81809 = .65780. Ans.<br />

(266) (a) 32'\ 1.50515<br />

Log 32 = 1.50515. 4.8<br />

1204120<br />

602060<br />

7.224720<br />

7.22472 is the logarithm of the required power. (Art.<br />

657.)<br />

Number whose logarithm = 7.22472 is 16,777,000.<br />

Hence, 32' •" = 16, 777,000. Ans.

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