What is the distance between points M and N?
meters
10.7 m
19.6 m
10.7 m
7.4m Nam
7.4 mL

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The Triangle Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.

In this problem

Point N is the midpoint segment JL and the point M is the midpoint segment KL

so

The segment MN is joining two sides of a triangle at the midpoints of those sides

therefore

MN is parallel to side JK and is half the length of JK

we have

substitute

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)