How would I write the expression as a single logarithm: logbase3(36) - logbase3(4)
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How would I write the expression as a single logarithm: logbase3(36) - logbase3(4)

[From: ] [author: ] [Date: 11-05-10] [Hit: ]
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Subtraction of logarithms corresponds to division of the numbers themselves.

So log 36 - log 4 = log (36/4) (in any base)

which = log 9

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Log 3 (36) - Log 3 (4)
= Log 3 (36/4) ………law of logs
= Log 3 (9)

does this help? and you can simplify this further but you only asked to write as single log.

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logbase3(36/4) = logbase3(9)

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logbase3(36/4) = logbase3(9)
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