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. $log \frac{M}{N}$ 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 $log \frac{1}{2}-log(8w)$.

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

ANSWER: $log \frac{1}{2}-(log8+logw)$  (second option)