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)
Answer:
x = 100°
Step-by-step explanation:
The measure of a chord- chord angle is half the sum of the arcs intercepted by the angle and its vertical angle, that is
x =
(71 + 129)° = 0.5 × 200° = 100°
Answer:
240 houses
Step-by-step explanation:
Given that:
Number of streets = 4
Length of each street = 3/4 miles long
Street is divided into lots with one house built per lot
1 mile = 5289 feets
3/4 miles = (3/4) * 5280 = 3960 feets
Hence, street is 3960 feets long
Since each lot must have at least 65 feet frontage along the street:
Number of lots per street :
Length of street / frontage length
3960 ft / 65 ft = 60.92
Hence, maximum number of lots per street = 60 lots per street
Maximum number of houses in New neighborhoods :
Number of lots per street × number of streets
= 60 × 4
= 240 houses
the additive inverse of -8 is 8
to find the additive inverse you just have to change the sign of the number
Well 2.4/ 16.4 is 6.9, but idk if that is what u were asking for