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Veseljchak [2.6K]
4 years ago
6

Write an equation to determine the value of x.

Mathematics
1 answer:
Ksju [112]4 years ago
7 0

Step-by-step explanation:

A random equation? Or was there a part before this? Or was it a story problem or something? Tell me in the comments for this answer and I'll answer it there if I can, I don't want free points for answering a question with a question

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Solve each equation. Round your answers to the nearest ten-thousandth. Please show work. Part 3A​
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Answer:

19.

      log9(5x^2 + 10) - log9(10) = 1

<=> log9((5x^2 + 10)/10) = log9(9)

<=> (5x^2 + 10)/10 = 9

<=> 5x^2 + 10 = 90

<=> 5x^2 = 80

<=> x^2 = 16

<=> x = +/- (4)

20.

      log5(2x^2 + 4) + log5(3) = 2

<=> log5((2x^2 + 4) x 3) = log3(9)

<=> 6x^2 + 12 = 9

<=> 6x^2 = -3

 => No real x satisfies.  ( x^2 always larger or equal to 0)

21.

      log6(8) + log6(7 - 2x^2) = 2

<=> log6(8 x (7 - 2x^2)) = log6(36)

<=> 56 - 16x^2 = 36

<=> 16x^2 = 20

<=> x^2 = 5/4

<=> x = +/- sqrt(5/4)

Hope this helps!

:)

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