4 x > − 16 (Possibility 1)
4 x
4 > − 16
4 (Divide both sides by 4)
x > − 4
6 x ≤ − 48 (Possibility 2)
6 x
6 ≤ − 48
6 (Divide both sides by 6)
x ≤ − 8
Answer:
x > − 4 or x ≤ − 8
Ok log properties
![log_ax+log_ay=log_a(xy)](https://tex.z-dn.net/?f=log_ax%2Blog_ay%3Dlog_a%28xy%29)
and
![\frac{log_ax}{log_ay} log_a(x-y)](https://tex.z-dn.net/?f=%20%5Cfrac%7Blog_ax%7D%7Blog_ay%7D%20log_a%28x-y%29)
and
![nlog_ax=log_ax^n](https://tex.z-dn.net/?f=nlog_ax%3Dlog_ax%5En)
so
pemdas
first make like fractions so we can combine
![\frac{2log_bx}{3} + \frac{3log_by}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2log_bx%7D%7B3%7D%20%2B%20%5Cfrac%7B3log_by%7D%7B4%7D%20)
times first fraction by 4/4 and second by 3/3
![\frac{8log_bx}{12} + \frac{9log_by}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8log_bx%7D%7B12%7D%20%2B%20%5Cfrac%7B9log_by%7D%7B12%7D%20)
combine fractions
![\frac{8log_bx+9log_by}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8log_bx%2B9log_by%7D%7B12%7D%20)
now move fractions up
![\frac{log_b(x^8y^9)}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7Blog_b%28x%5E8y%5E9%29%7D%7B12%7D%20)
now the other part
![\frac{log_b(x^8y^9)}{12}-5log_bz](https://tex.z-dn.net/?f=%5Cfrac%7Blog_b%28x%5E8y%5E9%29%7D%7B12%7D-5log_bz)
we need to combine that
![5log_bz](https://tex.z-dn.net/?f=5log_bz)
with that
![\frac{log_b(x^8y^9)}{12}](https://tex.z-dn.net/?f=%5Cfrac%7Blog_b%28x%5E8y%5E9%29%7D%7B12%7D)
by make it als a fraction of common denomenator of 12
multiply
![5log_bz](https://tex.z-dn.net/?f=5log_bz)
by 12/12
![\frac{60log_bz}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B60log_bz%7D%7B12%7D%20)
move the coefient to expoment
![\frac{log_bz^{60}}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7Blog_bz%5E%7B60%7D%7D%7B12%7D%20)
now conbine fractions
![\frac{log_b(x^8y^9)}{12} - \frac{log_b(z^{60})}{12}](https://tex.z-dn.net/?f=%5Cfrac%7Blog_b%28x%5E8y%5E9%29%7D%7B12%7D%20-%20%20%5Cfrac%7Blog_b%28z%5E%7B60%7D%29%7D%7B12%7D%20)
![\frac{log_b(x^8y^9)-log_b(z^{60})}{12}}{12}](https://tex.z-dn.net/?f=%5Cfrac%7Blog_b%28x%5E8y%5E9%29-log_b%28z%5E%7B60%7D%29%7D%7B12%7D%7D%7B12%7D%20)
apply log property
It is 860.4 because if you multiply it in the calculator you will get the answer. So you put in 71.1 times 12 and you get 860.4.
The sum of all interior angles in a polygon is
180( n - 2 ), n = number of sides in the polygon.
this one is a QUADrilateral, so it has 4 sides, thus its interior angles add up to 180( 4 - 2), or 360°.
thus 75 + 104 + 59 + ∡N = 360, ∡N = 360 - 75 - 104 - 59.