Answer:
x = -4
Step-by-step explanation:
16 = 4*4 = 4²
64 = 4 * 4* 4 = 4³
![(\dfrac{1}{16})^{3x}=64^{2*(x+8)}\\\\\\(16^{-1})^{3x}=64^{2x + 16}\\\\\\16^{-3x}=64^{2x +16}\\\\(4^{2})^{-3x}=(4^{3})^{2x+16}\\\\4^{-6x}=4^{6x +48}](https://tex.z-dn.net/?f=%28%5Cdfrac%7B1%7D%7B16%7D%29%5E%7B3x%7D%3D64%5E%7B2%2A%28x%2B8%29%7D%5C%5C%5C%5C%5C%5C%2816%5E%7B-1%7D%29%5E%7B3x%7D%3D64%5E%7B2x%20%2B%2016%7D%5C%5C%5C%5C%5C%5C16%5E%7B-3x%7D%3D64%5E%7B2x%20%2B16%7D%5C%5C%5C%5C%284%5E%7B2%7D%29%5E%7B-3x%7D%3D%284%5E%7B3%7D%29%5E%7B2x%2B16%7D%5C%5C%5C%5C4%5E%7B-6x%7D%3D4%5E%7B6x%20%2B48%7D)
As bases are same, compare exponents
6x + 48 = -6x
Subtract 48 from both sides
6x = -6x - 48
Add '6x' to both sides
6x + 6x = -48
12x = -48
Divide both sides by 12
x = -48/12
x = -4
Answer:
the answer is yes hope this helps you
Answer:
0, 1, 2.
Step-by-step explanation:
5 - 3x <= 7
-3x <= 2
x >= -2/3 (the inequality sign flips as we are dividing by a negative value)
4x + 1 < 13
4x < 12
x < 3.
So the integer values satisfying the inequalities are>
0, 1, 2.
I'm assuming you're meaning 116.37 inches. 116.37 in = 9.6975 feet
Answer = 10 feet