this is for my final

x=67

Step-by-step explanation:

If you know that angle AGD is a right angle, in other words, 90 degrees, and that CGE is 23 degrees, those will be your main points to solve the problem.

The 23 degrees has a vertical angle. Its the angle inside of AGD next to the x angle. So, that would mean that if you take 90 degrees and subtract that from 23 degrees, you get the value of the x angle. 90-23=67. So, 67 is the answer.

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)