QUESTION 1
The given logarithm is

We apply the power rule of logarithms; 

We now apply the product rule of logarithm;


QUESTION 2
The given logarithm is

We apply the power rule of logarithm to get;

We apply the product to obtain;

We apply the quotient rule; 

![=\log_5(\frac{x^8 \sqrt[4]{y^3} }{z^5})](https://tex.z-dn.net/?f=%3D%5Clog_5%28%5Cfrac%7Bx%5E8%20%5Csqrt%5B4%5D%7By%5E3%7D%20%7D%7Bz%5E5%7D%29)
Find the difference vertically( North and South) and the difference horizontally ( East and West)
Then use the Pythagorean Theorem.
600 North - 200 South = 400 m
400 West - 100 East = 300 m
Now using the Pythagorean Theorem;
400^2 + 300^2 = total displacement^2
Total displacement^2 = 160,000 + 90,000
Total displacement^2 = 250,000
Total displacement = √250,000
Total displacement = 500 m
The opposite is just 1. Positive 1.
Answer:
$0.87
Step-by-step explanation:
2 quarts = 8 cups
$6.96 ÷ 8 = $0.87