It would be five times as many planes so 12*5=60 planes
Answer:
Option A,
Only that graph represents the solution to the given system of inequalities.
Answered by GAUTHMATH
A = (350/13) and B = (400/-13)
The potential solutions of
are 2 and -8.
<h3>Properties of Logarithms</h3>
From the properties of logarithms, you can rewrite logarithmic expressions.
The main properties are:
- Product Rule for Logarithms -
![log_{b}(a*c)=log_{b}a+log_{b}c](https://tex.z-dn.net/?f=log_%7Bb%7D%28a%2Ac%29%3Dlog_%7Bb%7Da%2Blog_%7Bb%7Dc)
- Quotient Rule for Logarithms -
![log_{b}(\frac{a}{c} )=log_{b}a-log_{b}c](https://tex.z-dn.net/?f=log_%7Bb%7D%28%5Cfrac%7Ba%7D%7Bc%7D%20%29%3Dlog_%7Bb%7Da-log_%7Bb%7Dc)
- Power Rule for Logarithms -
![log_{b}(a^c)=c*log_{b}a](https://tex.z-dn.net/?f=log_%7Bb%7D%28a%5Ec%29%3Dc%2Alog_%7Bb%7Da)
The exercise asks the potential solutions for
. In this expression you can apply the Product Rule for Logarithms.
![log_4x+log_4(x+6)=2\\ \\ x*(x+6)=4^2\\ \\ x^2+6x=16\\ \\ x^2+6x-16=0](https://tex.z-dn.net/?f=log_4x%2Blog_4%28x%2B6%29%3D2%5C%5C%20%5C%5C%20x%2A%28x%2B6%29%3D4%5E2%5C%5C%20%5C%5C%20x%5E2%2B6x%3D16%5C%5C%20%5C%5C%20x%5E2%2B6x-16%3D0)
Now you should solve the quadratic equation.
Δ=
. Thus, x will be
. Then:
![x_1=\frac{-6+10}{2}=\frac{4}{2} =2\\ \\ \:x_2=\frac{-6-10}{2}=\frac{-16}{2} =-8](https://tex.z-dn.net/?f=x_1%3D%5Cfrac%7B-6%2B10%7D%7B2%7D%3D%5Cfrac%7B4%7D%7B2%7D%20%3D2%5C%5C%20%5C%5C%20%5C%3Ax_2%3D%5Cfrac%7B-6-10%7D%7B2%7D%3D%5Cfrac%7B-16%7D%7B2%7D%20%3D-8)
The potential solutions are 2 and -8.
Read more about the properties of logarithms here:
brainly.com/question/14868849