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LiRa [457]
3 years ago
13

Logx(8x-3)-logx 4=2 please help ill give you everything i have !!

Mathematics
1 answer:
Gelneren [198K]3 years ago
6 0
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
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Answer:

The ordered pair generated from the equation is (1, 6).

Step-by-step explanation:

An ordered pair is a pair of numbers, representing two variables, in a specific order. For instance, (<em>x</em>, <em>y</em>) = (1, 2) here <em>x</em> = 1 and <em>y</em> = 2.

The equation provided is:

y=2x+4

Check for all the options:

  • A (1, 6): y=2x+4\Rightarrow\ 6=(2\times 1) +4\Rightarrow\ 6=6
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  • C (3, 6): y=2x+4\Rightarrow\ 6=(2\times 3) +4\Rightarrow\ 6\neq10
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Thus, the ordered pair generated from the equation is (1, 6).

8 0
3 years ago
Choose the longer measurement <br>14 inches 1 foot​
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Step-by-step explanation:

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How the transformations of the functions f(x)=15tanx and g(x)=tanx+15 differ?
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2(w – 3y + 4) + w – 5
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Answer: It should be 3w - 6y + 3

Step-by-step explanation:

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2(w-3y+4)+w-5

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-Then, combine like terms:

2w-6y+8+w-5

3w-6y+3

Result:

3w-6y+3

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3 years ago
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