document.write( "Question 1128145: Carbon-14 has a half-life of 5,730 years. A fossil is found that has 26% of the carbon-14 found in a living sample. How old is the fossil? (Round your answer to the nearest year.) \n" ); document.write( "

Algebra.Com's Answer #744613 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "If x is the number of half lives, then the fraction remaining is $\".5%5Ex\"$ .

\n" ); document.write( " $\".5%5Ex+=+.26\"$
\n" ); document.write( " $\"x%2Alog%28%28.5%29%29+=+log%28%28.26%29%29\"$
\n" ); document.write( " $\"x+=+log%28%28.26%29%29%2Flog%28%28.5%29%29\"$ = 1.943416472 to several decimal places.

\n" ); document.write( "The age of the fossil is then $\"5730%2A1.943416472+=+11136\"$ to the nearest whole number.

\n" ); document.write( "ANSWER: the age of the fossil is 11136 years. \n" ); document.write( "

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