Correct answer only ! amy is eight years older than twice her cousin alicia’s age. the sum of their ages is less than 32. let x represent alicia's age. which inequality represents alicia’s possible age?

x = Alicia's age

Amy is 8 years older than twice her cousin Alicia's age so Amy's age = 2x + 8

Sum of their ages is less than 32

x + 2x + 8 < 32

3x + 8 < 32

3x <24

x < 8

So Alicia's age is greater than 0 but less than 8 years old

(0 < x < 8)

A) 0 < x < 8

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)