science question about carbon

Question

The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 67.7% of their carbon-14. How old were the bones at the time they were discovered?

Answer 1

After losing 67.7%, the amount remaining is (100 - 67.7)% = 32.3%, which is 0.323 times the initial amount.

 

0.323 = (0.5)^t/5750,

 

with t in years.

 

Can you solve for t working with the properties of logarithms, and finish from here?