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SCORPION-xisa [38]
4 years ago
6

What is the true solution to 2 In 4x= 2 In 8?

Mathematics
1 answer:
Pachacha [2.7K]4 years ago
6 0

Answer:

x=2

Step-by-step explanation:

2In(4x)=2In(8)

determine the defined range

2In(4x)=2In(8) , x is greather than 0

divide both sides by 2

In(4x)=In(8)

set the arguments equal

4x=8

divide both sides by 4

x=2, x is greater than 0

x=2

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explained:

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Solve for x:<br> 4(x + 4) = 6(x - 2)<br> O A. x = 9<br> B. x = 14<br> O C. x = 8<br> D. x = 1
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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define equation</u>

4(x + 4) = 6(x - 2)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                   4x + 16 = 6x - 12
  2. Subtract 4x on both sides:         16 = 2x - 12
  3. Add 12 on both sides:                28 = 2x
  4. Divide 2 on both sides:              14 = x
  5. Rewrite:                                       x = 14

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    4(14 + 4) = 6(14 - 2)
  2. Add/Subtract:               4(18) = 6(12)
  3. Multiply:                        72 = 72

And we have our final answer!

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Step-by-step explanation:

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