The ratio of 14C to 12C in living organisms is 1.3 × 10-12. The fossilized remains of an organism are discovered and the ratio of 14C to 12C in the fossil is measured to be 4.6 × 10-13. How long ago, in years was the organism alive? (The half life of 14C is 5,730 years.)

t = 8588 years

Step-by-step explanation:

From the given information:

Using the formula:

Given that:

= 5730 years

Then:

k = 1.20968 × 10⁻⁴

However; the expression to find the value of x is:

(-1.20968 × 10⁻⁴ × t) = In(0.353846)

(-1.20968 × 10⁻⁴ × t) = -1.03889

t = 8588 years

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step-by-step explanation: