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VashaNatasha [74]
3 years ago
15

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

Mathematics
1 answer:
Lana71 [14]3 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:

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Step-by-step explanation:

I'll assume you meant 3/4 + (1/3 / 1/6) - (- 1/2) and not 3/4 + (1/3 \ 1/6) - (- 1/2)

So we start with 3/4 + (1/3 / 1/6) - (- 1/2)

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\frac{1/3}{1/6} = \frac{1}{3} * \frac{6}{1} = \frac{6}{3} = 2

Then we return to the original problem with the new value for the parenthesis:

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Answer:

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Step-by-step explanation:

1. Approach

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