Which expression is equivalent to log12 (1/8/8w) ?

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29-06-2018
Mathematics

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Which expression is equivalent to log12 (1/8/8w) ?

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Dibny Dibny · Answer 1 · 2018-06-29T06:44:40+02:00

Hello! For this problem we need to make use of two existing logarithmic properties. These are:

1. [tex]log \frac{M}{N} [/tex] is equal to [tex]log M-logN[/tex]
2. [tex]log(MN) [/tex] is equal to [tex]log M+logN[/tex]

Following the first property, we can simplify the expression to [tex]log \frac{1}{2}-log(8w) [/tex].

Then, we will use the second property to the term 8w. The final form of the expression would then be [tex]log \frac{1}{2}-(log8+logw)[/tex]

ANSWER: [tex]log \frac{1}{2}-(log8+logw)[/tex] (second option)