you add 7/3 tablespoons of olive oil for every 8/6 tablespoons of balsamic vinegar to make 44 tablespoons of bread dip. how much oil and basaltic vinegar do you use?

28 tablespoons of olive oil

16 tablespoons of balsamic vinegar

Step-by-step explanation:

Olive oil : Balsamic vinegar

        7/3 : 8/6

Add them together:   7/3 + 8/6 = 11/3

Divide the total (44 tablespoons) by sum of ratios:  44 ÷ 11/3 = 12

Therefore, the scale factor = 12

Now multiply the ratios by the scale factors:

12 x 7/3 = 28 tablespoons of olive oil

12 x 8/6 = 16 tablespoons of balsamic vinegar

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)