The radioactive element carbon14 has a halflife of 5750 year

The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 58.758.7% of their carbon-14. How old were the bones at the time they were discovered?

Solution

if 58.7% lost,then 41.3% left

.413= a₀(.5)^t/5750

taking log on oth sides

log.413/log.5=t/5750

t=7336yrs