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The amount of Carbon 14 contained in a preserved plant is modeled by the equation $$ f(t) = 10e^.devotions for dating divorced couples remarrying..
IM Commentary The task requires the student to use logarithms to solve an exponential equation in the realistic context of carbon dating, important in archaeology and geology, among other places.
$$ If we evaluate this expression on a calculator, we get a value of approximately 19,035 years since the plant has died.
$$ Time in this equation is measured in years from the moment when the plant dies ($t = 0$) and the amount of Carbon 14 remaining in the preserved plant is measured in micrograms (a microgram is one millionth of a gram). Along with hydrogen, nitrogen, oxygen, phosphorus, and sulfur, carbon is a building block of biochemical molecules ranging from fats, proteins, and carbohydrates to active substances such as hormones.
$$ Solving for $c$ gives $$ c = \frac $$ which is approximately equal to $0.