Answer:
237?
Step-by-step explanation:
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)
<span>Describe the translation in words: (x, y) (x - 3, y + 7) =3 units to the left, 7 units up
Describe the translation as an ordered pair: 5 units to the right, 4 units down.
=(x, y)(x + 5, y – 4)
Describe the translation in words: (x, y) (x + 6, y – 2) =6 units to the right, 2 units down
Describe the translation as an ordered pair: 1 unit to the left, 8 units down
=(x, y) (x – 1, y – 8)
</span>
( 0,0 ) is not the solution of the first inequality y≤x² +x-4 but ( 0,0) is the solution for the second inequality y <x²+2x+1.
<h3>What is inequality?</h3>
The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than’
Finding the solution for the inequality is as follows:-
y ≤ x² +x-4 by putting x and y equal to 0.
0 ≤ 0 + 0 -4
0 ≤ - 4
This is incorrect so (0,0) can not be the solution for this inequality.
y < x²+2x+1.
0 < 0 + 0 + 1
0 < 1
This inequality is showing the solution for (0,0)
Therefore ( 0,0 ) is not the solution of the first inequality y≤x² +x-4 but ( 0,0) is the solution for the second inequality y <x²+2x+1.
To know more about inequality follow
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