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Properties of natural logarithms

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After a race, a runner's pulse rate R in beats per minute decreases according to the function:
R(t) = 145e^-0.092t, 0 ≤ t ≤ 15

Find the runner's pulse rate at the end of the race.

Find the pulse rate 1 minute after the end of the race.

How long, to the nearest minute, after the end of the race will the runner's pulse rate be 80 beats per minute?

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This solution thoroughly demonstrates properties of natural logarithms.

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