Do a + a + a + a and 4a a have the same value for any value of ? Explain how you know

No

Step-by-step explanation:

4a=a*a*a*a

4a is 4 times the variable a, not the variable a added to itself 4 times.

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)

-8/2y-8=5/y+4-7y+8/y^2-16

we move all terms to the left:

-8/2y-8-(5/y+4-7y+8/y^2-16)=0

we can not solve this equation