For this case we must find an expression equivalent to:
![log_ {5} (\frac {x} {4}) ^ 2](https://tex.z-dn.net/?f=log_%20%7B5%7D%20%28%5Cfrac%20%7Bx%7D%20%7B4%7D%29%20%5E%202)
So:
We expanded
by moving 2 out of the logarithm:
![2log_ {5} (\frac {x} {4})](https://tex.z-dn.net/?f=2log_%20%7B5%7D%20%28%5Cfrac%20%7Bx%7D%20%7B4%7D%29)
By definition of logarithm properties we have to:
The logarithm of a product is equal to the sum of the logarithms of each factor:
![log (xy) = log (x) + log (y)](https://tex.z-dn.net/?f=log%20%28xy%29%20%3D%20log%20%28x%29%20%2B%20log%20%28y%29)
The logarithm of a division is equal to the difference of logarithms of the numerator and denominator.
![log (\frac {x} {y}) = log (x) -log (y)](https://tex.z-dn.net/?f=log%20%28%5Cfrac%20%7Bx%7D%20%7By%7D%29%20%3D%20log%20%28x%29%20-log%20%28y%29)
Then, rewriting the expression:
![2 (log_ {5} (x) -log_ {5} (4))](https://tex.z-dn.net/?f=2%20%28log_%20%7B5%7D%20%28x%29%20-log_%20%7B5%7D%20%284%29%29)
We apply distributive property:
![2log_ {5} (x) -2log_ {5} (4)](https://tex.z-dn.net/?f=2log_%20%7B5%7D%20%28x%29%20-2log_%20%7B5%7D%20%284%29)
Answer:
An equivalent expression is:
![2log_ {5} (x) -2log_ {5} (4)](https://tex.z-dn.net/?f=2log_%20%7B5%7D%20%28x%29%20-2log_%20%7B5%7D%20%284%29)
Answer:
Step-by-step explanation:
Answer: i think the answers D.
Step-by-step explanation:
Since 20 percent of 175 is 35, the total cost of the meal is 210. Dividing that between 5 people, each person would pay $42.
Answer:
The blue point will be at (4, 3)
Step-by-step explanation:
Numbers inside the parenthases only affect x, but are revered. If it is -4, move right 4. lf it is 4, move left 4.
Numbers after the patentheses affect the movement of y. When the point is at (4, 0), move up 3.