* The Law of Logarithms with regard to Powers and Roots of Numbers
*
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Many
times students see no value in these type of problems, however,
when confronted with an advanced problems where these laws apply they will.
The Log of a Power equals the
Power X the Log of Number * Log (A)P = P x
Log (A)
(648)7 = N Determine
the Seventh Power of (648)
(Log) (648)7 =
N (Log) Take
the Log of both Sides
7 x (Log) (648) = Log N Distribute
the Log on both sides
7 x _____ = Log N Determine Log of
( ) & Multiply by 7
(Anti) _____ = Log N (Anti) Take
the AntiLog of both sides
_____ = N Check N in 10E = N
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The Log of a Root equals the
Root X the Log of Number * Log (A)R = R x
Log (A)
(.007)1/5 =
N Determine
the Fifth Root of (.007)
(Log) (648)71/5 = N (Log) Take
the Log of both Sides
(1/5) x (Log) (648) = Log N Distribute the Log on both sides
(1/5) x _____ = Log N Determine Log of
( ) & Multiply by (1/5)
(Anti) _____ = Log N (Anti) Take
the AntiLog of both sides
_____ = N Check N in 10E = N
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