3 years ago

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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