Using half life to determine the age of a piece of coal

The video tutorial covers compound interest formulas, focusing on continuous compounding and the carbon-14 half-life concept. It explains how to determine the rate of decay and solve for time using logarithms, with a practical example involving ancient coal. The tutorial concludes with a detailed calculation to find the age of the coal based on its carbon content.

What is the significance of the natural logarithm (Ln) in the calculations discussed?

Describe how to isolate the variable T when calculating the age of a piece of coal with 15% carbon.

Calculate the age of a piece of coal that contains 15% of the carbon compared to a piece today.