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

6 0

3 years ago

CAN SOMEONE PLEASE HELP ME

I am Lyosha [343]

The y-intercept is where the curve crosses through the y axis (it intercepts it). In this case the y intercept would be worth three dollars at year 0. As years are time, and time is generally placed along the x axis.

3 0

3 years ago

Read 2 more answers

PLEASE HELP!!!!!!! ALSO SHOW WORK

Dimas [21]

Answer: a) 92 yards, b) 29.29 yards and 672.99 sq. yd.

Step-by-step explanation:

Since we have given that

Area of square pen = 529 sq. yd

Let the length of each side be 'a'.

As we know the formula for "Area":

$Area=a^2\\\\529=a^2\\\\\sqrt{529}=a\\\\a=23\ yd$

So, the perimeter of the square pen is given by

$4\times s=4\times 23\\\\=92\ yd$

So, perimeter of square pen = Perimeter of round pen

$92=2\pi r\\\\92=2\times 3.14\times r\\\\\dfrac{92}{2}=3.14\times r\\\\\dfrac{46}{3.14}=r\\\\14.64=r$

So, the diameter of round pen is $2\times r=2\times 14.64=29.29\ yd$

And the area of round pen is

$\pi r^2\\\\=3.14\times (14.64)^2\\\\=672.99\ sq.\ yd$

Hence, a) 92 yards, b) 29.29 yards and 672.99 sq. yd.

3 0

3 years ago

Find the common multiple of 5 and 6 between 100 mathfind the common multiple of 5 and 6 between hundred

Brrunno [24]

Answer

100 multiples of 5 greater than 100 are:

Step-by-step explanation:

105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 275, 280, 285, 290, 295, 300, 305, 310, 315, 320, 325, 330, 335, 340, 345, 350, 355, 360, 365, 370, 375, 380, 385, 390, 395, 400, 405, 410, 415, 420, 425, 430, 435, 440, 445, 450, 455, 460, 465, 470, 475, 480, 485, 490, 495, 500, 505, 510, 515, 520, 525, 530, 535, 540, 545, 550, 555, 560, 565, 570, 575, 580,

4 0

2 years ago