Question

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

Answer 1

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)