document.write( "Question 1058423: The mass of a radioactive element at time x is given by the equation below, where c is the original mass and h is the half-life of the element. The half-life of a substance is 3.1 years. How long will it take for 50 grams to decay to 8 grams? (Round your answer to one decimal place.) \n" ); document.write( "
Algebra.Com's Answer #673480 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
\"y=50%2Ae%5E%28-kt%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"ln%28y%29=ln%2850%29-kt\"
\n" ); document.write( "\"-kt=ln%28y%29-ln%2850%29\"
\n" ); document.write( "\"kt=ln%2850%29-ln%28y%29\"
\n" ); document.write( "\"k=%281%2Ft%29ln%2850%2Fy%29\"
\n" ); document.write( "Use halflife:
\n" ); document.write( "\"k=%281%2F3.1%29%28ln%2850%2F25%29%29\"
\n" ); document.write( "\"k=ln%282%29%2F3.1\"
\n" ); document.write( "\"highlight%28k=0.22359%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"kt=ln%2850%29-ln%28y%29\"
\n" ); document.write( "\"t=%281%2Fk%29%28ln%2850%2Fy%29%29\"
\n" ); document.write( "How long to reach 8 grams?
\n" ); document.write( "\"t=%281%2F0.22359%29ln%2850%2F8%29\"
\n" ); document.write( "\"highlight%28t=ln%2825%2F4%29%2F0.22359%29\"
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