Question 1128145
<br>
If x is the number of half lives, then the fraction remaining is {{{.5^x}}}.<br>
{{{.5^x = .26}}}
{{{x*log((.5)) = log((.26))}}}
{{{x = log((.26))/log((.5))}}} = 1.943416472 to several decimal places.<br>
The age of the fossil is then {{{5730*1.943416472 = 11136}}} to the nearest whole number.<br>
ANSWER: the age of the fossil is 11136 years.