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VashaNatasha [74]
2 years ago
15

Solve the equation. Check your answer. If necessary, round to 3 decimal places

Mathematics
1 answer:
Lana71 [14]2 years ago
6 0

Answer:

x ≈ ±20.086/√(t - 1)  

Step-by-step explanation:

ln(t - 1) + ln(x²) = 6

Recall that lnu + lnv = ln(uv). Then  

ln(t - 1) + ln(x²) = ln[(t-1)x²] = 6

Take the natural antilogarithm of each side

(t - 1)x² = e⁶

Divide each side by t - 1

x² = e⁶/(t-1)

Take the square root of each side

x = ±e³/√(t - 1)

x ≈ ±20.086/√(t - 1)

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Answer:

No solution

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Step-by-step explanation:

Given: The system of inequality

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We need to choose correct option.

Option 1: (-5,2)

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2>\dfrac{3}{2}(-5)-1                            2

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Option 2: (2,2)

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Equation 1                              Equation 2

2>\dfrac{3}{2}(2)-1                    2

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Option 3: (5,2)

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Equation 1                            Equation 2

2>\dfrac{3}{2}(5)-1                      2

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Option 1, 2 and 3 are incorrect because both equation must be true for solution.

Hence, Option 4 is correct no solution.  

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