Stan cut two pieces of crown molding for his family room that were 8 feet 7 inches and 12 feet 11 inches. what was the total length of the molding?

The total length of the molding is 21 feet and 6 inches

Step-by-step explanation:

* Lets explain how to solve the problem

- The length of the two pieces are 8 feet 7 inches and 12 feet 11 inches

- Each foot has 12 inches

- Lets change the lengths of the two pieces to inch

# First piece 8 feet 7 inches

∵ 1 foot = 12 inches

∴ 8 feet 7 inches = 8 × 12 + 7

∴ 8 feet 7 inches = 96 + 7

∴ 8 feet 7 inches = 103 inches

# Second piece 12 feet 11 inches

∵ 1 foot = 12 inches

∴ 8 feet 7 inches = 12 × 12 + 11

∴ 8 feet 7 inches = 144 + 11

∴ 8 feet 7 inches = 155 inches

- To find the total length add the two answers

∴ The total length of the molding = 103 + 155 = 258 inches

- Divide the answer by 12 to change it to feet

∵ 258 ÷ 12 = 21.5 feet

- To change it to feet and inch multiply 0.5 feet by 12

∵ 0.5 × 12 = 6 inches

∴ The total length of the molding is 21 feet and 6 inches

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)