For this case we must find an expression equivalent to:
So:
We expanded by moving 2 out of the logarithm:
By definition of logarithm properties we have to:
The logarithm of a product is equal to the sum of the logarithms of each factor:
The logarithm of a division is equal to the difference of logarithms of the numerator and denominator.
Then, rewriting the expression:
We apply distributive property:
Answer:
An equivalent expression is:
Answer:
a. Check the diagram
b. He walked 58 feet
c. He is 18 feet far away from the house
Step-by-step explanation:
a. Eli started inside the house an walked 12 feet (blue arrow), after that he keep walking until the mailbox for 32 feet (green arrow) and after that he came back until the dog 14 feet (red arrow).
b. For calculating how far has he walked we need to take into acount all the travel so we add all the arrows:
12ft + 32ft + 14ft =58ft
He walked 58 feet.
c. The distance from the dog to the house is determine by the substraction between the distance to the mailbox with the distance he walked to the dog then:
32ft - 14ft = 18ft.
He is 18 feet far away from the house.
