QUESTION 1
The given logarithmic expression is

We rewrite
in the index form to base 4.
This implies that;

We now apply the power rule:
.

Recall that logarithm of the base is 1.


QUESTION 2
The given logarithm is;
![\log_2(\sqrt[5]{32})](https://tex.z-dn.net/?f=%5Clog_2%28%5Csqrt%5B5%5D%7B32%7D%29)
![\log_2(\sqrt[5]{2^5})](https://tex.z-dn.net/?f=%5Clog_2%28%5Csqrt%5B5%5D%7B2%5E5%7D%29)
This is the same as;



Answer:
9809.223
Step-by-step explanation:
8700 * 1.1274968
9809.223
1. 7x + 3 - 2x....x = 8
7(8) + 3 - 2(8) = 56 + 3 - 16 = 43
4. 7 - (-2y) + y - 9....y = 6
7 - (-2(6) + 6 - 9 = 7 + 12 + 6 - 9 = 16
7. -x + 8 + 7x - (-1).....x = -10
-(-10) + 8 + 7(-10) + 1 = 10 + 8 - 70 + 1 = -51
10. 4x + 2y - x - 8....x = 1, y = 5
4(1) + 2(5) - 1 - 8 = 4 + 10 - 9 = 5
13. 2x + 5y - 3x + (-8y)....x = -9, y = 9
2(-9) + 5(9) - 3(-9) - 8(9) = -18 + 45 + 27 - 72 = -18
Answer:
<h3>Option 2 </h3>
angle 2 = 7x + 1 ( vertically opposite angles)
7x + 1 + 18x + 4 = 180° ( forming linear pair).
7x + 18x + 4 +1 = 180°
25x + 5 = 180°
25x = 180 - 5
25x = 175
x = 7°
angle 2 = 7(7)+ 1
= 50°
Answer:
Your answer would be 2
Step-by-step explanation:
15 - 6(x+1) =12
15- 6*x +6*1 = 12
15 - 6x + 6 = 12
15 - 6 + 6x = 12
9 + 6x = 12
9 - 9 + 6x = 12 - 9
6x = 3
x = 2