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KonstantinChe [14]
4 years ago
10

Solve each equation. Round your answers to the nearest ten-thousandths. Please show work. Part 1a​

Mathematics
1 answer:
SashulF [63]4 years ago
3 0

Answer:

13. x = 2.5, -2.5

14. x = 31, -31

15. x = 14.5717, -14.5717

Step-by-step explanation:

13. log6[(4x²-1)(9)] = 3

36x² - 9 = 6³

36x² - 9 = 216

36x² = 225

x² = 225/36

x = +/- sqrt(225/36)

x = 2.5, -2.5

14. log7[(5x²-3)/2] = 4

(5x²-3)/2 = 7⁴

5x² - 3 = 4802

5x² = 4805

x² = 960

x = +/-sqrt(961)

x = 31, -31

15. log8[(3x²+3)/10] = 2

(3x²+3)/10 = 8²

3x² + 3 = 640

3x² = 637

x = +/- sqrt(637/3)

x = 14.5717, -14.5717

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