Logx (8x-3) - logx 4 = 2
logx [(8x-3)/4] = 2
x^2=(8x-3)/4
4x^2=4(8x-3)/4
4x^2=8x-3
4x^2-8x+3=8x-3-8x+3
4x^2-8x+3=0
4(4x^2-8x+3=0)
(4^2)(x^2)-8(4x)+12=0
(4x)^2-8(4x)+12=0
(4x-2)(4x-6)=0
2(4x/2-2/2)2(4x/2-6/2)=0
4(2x-1)(2x-3)=0
4(2x-1)(2x-3)/4=0/4
(2x-1)(2x-3)=0
Two options:
1) 2x-1=0
2x-1+1=0+1
2x=1
2x/2=1/2
x=1/2
2) 2x-3=0
2x-3+3=0+3
2x=3
2x/2=3/2
x=3/2
Answer: Two solutions: x=1/2 and x=3/2
Answer:
a(11) = 4^10 = 1048576
Step-by-step explanation:
The first term of this geometric sequence, a(1), is 1, and the common ratio, r, is 4. Each new term is 4 times the previous term. Thus,
a(n) = 1*4^(n - 1), and
a(11) = 4^10 = 1048576
Answer:
Percentage Calculator: 18 is what percent of 53? = 33.96.
Step-by-step explanation:
that is your answer
Answer:
The area is 56.7 square inches
Step-by-step explanation:
Given
See attachment for corner shelf
Required
The area
The corner shelf is a quadrant with radius;
![r = 8.5in](https://tex.z-dn.net/?f=r%20%3D%208.5in)
The area of a quadrant is:
![Area = \frac{\pi r^2}{4}](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B%5Cpi%20r%5E2%7D%7B4%7D)
So, the area of the corner shelf is:
![Area = \frac{\pi * 8.5^2}{4}](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B%5Cpi%20%2A%208.5%5E2%7D%7B4%7D)
![Area = \frac{\pi * 72.25}{4}](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B%5Cpi%20%2A%2072.25%7D%7B4%7D)
![Area = \pi * 18.0625](https://tex.z-dn.net/?f=Area%20%3D%20%5Cpi%20%2A%2018.0625)
Take
as 3.14
![Area = 3.14 * 18.0625](https://tex.z-dn.net/?f=Area%20%3D%203.14%20%2A%2018.0625)
-- approximated