Answer:
Step-by-step explanation:
Given:
1/2(ln(xx + yy) − ln(zz))
Now,
From the properties of log function,
1) n × ln(x) = ln(xⁿ)
and,
2) ln(A) - ln(B) = 
applying the properties in the given equation
we get the above equation as:
( using the property 2 we get (ln(xx + yy) − ln(zz) =
or
⇒
( using the property 1 i.e n × ln(x) = ln(xⁿ) )
expression as an equivalent expression with a single logarithm is
Answer:
b. 
Step-by-step explanation:
Here we are given
and are asked to simplify it. We are going to apply the law of exponents which says that

Hence applying this rule in our problem we get, where a=y and n=3

Hence our C) Option is correct
Answer:
49 people
Step-by-step explanation:
Take the amount of candy and divide by the amount in a serving
2 3/4 ÷ 1/18
Change to an improper fraction
(4*2+3)/4 ÷ 1 /18
11/4 ÷ 1/18
Copy dot flip
11/4 * 18/1
198/4
49.5
Round down since people do not want half a serving
49 people
Triangle classification by sides would be scalene, no congruent sides; isosceles, at least 2 congruent sides; equilateral, 3 congruent sides.