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ValentinkaMS [17]
3 years ago
6

Use logarithms to solve the equation for t. (Round your answer to two decimal places.)

Mathematics
1 answer:
mezya [45]3 years ago
7 0

9514 1404 393

Answer:

  2.56

Step-by-step explanation:

Multiply by (1+6e^(-.7t))/1000:

  2000/1000 = 1 +6e^(-0.07t)

  1 = 6e^(-0.07t) . . . . . . . . . subtract 1

  e^(0.07t) = 6 . . . . . . . . . . multiply by e^(0.07t)

  0.07t = ln(6) . . . . . . . . . take the natural log

  t = ln(6)/0.07 . . . . . . . divide by the coefficient of t

  t ≈ 2.55966 ≈ 2.56

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