* The Law of Logarithms with regard to Products and Quotients of Numbers *

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Many times students see no value in these type of problems, however,

when confronted with an advanced problem where these laws apply they will.

The Log of a Product equals the Sum of the Logs * Log (A) X (B) = Log (A) + Log (B)

(.046) X (7384) = N Determine the Product using Logs.

(Log) (.046) X (7384) = N (Log) Take the Log of both Sides

(Log) (.046) (Log) (7384) = Log N Distribute the Log on both sides

_____ + _____ = Log N Determine Log of ( ) & ( ) then Add

(Anti) _____ = Log N (Anti) Take the AntiLog of both sides

_____ = N Check N in 10^E = N

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The Log of a Quotient equals the Difference of the Logs * Log (A) X (B) = Log (A) + Log (B)

(528) / (.073) = N Determine the Quotient using Logs.

(Log) (528) / (.073) = N (Log) Take the Log of both Sides

(Log) (528) - (Log) (.073) = Log N Distribute the Log on both sides

_____ - _____ = Log N Determine Log of ( ) & ( ) then Subtract

(Anti) _____ = Log N (Anti) Take the AntiLog of both sides

_____ = N Check N in 10^E = N

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Tom Love Malone College Fall 2007