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

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

1 Answer

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

1.
log (M)/(N) is equal to
log M-logN
2.
log(MN) is equal to
log M+logN

Following the first property, we can simplify the expression to
log (1)/(2)-log(8w).

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

ANSWER:
log (1)/(2)-(log8+logw) (second option)
User TheOni
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