document.write( "Question 445764: If the doubling time of a state’s population is 42 years, how long does it take for the population to increase by a factor of 16? \n" ); document.write( "
Algebra.Com's Answer #307005 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
If the doubling time of a state’s population is 42 years, how long does it take for the population to increase by a factor of 16?
\n" ); document.write( "---
\n" ); document.write( "A(t) = Ao*2^(t/42)
\n" ); document.write( "---
\n" ); document.write( "Solve:
\n" ); document.write( "16Ao = Ao*2^(t/42)
\n" ); document.write( "---
\n" ); document.write( "2^(t/42) = 16
\n" ); document.write( "---
\n" ); document.write( "2^(t/42) = 2^4
\n" ); document.write( "--------------
\n" ); document.write( "t/42 = 4
\n" ); document.write( "---
\n" ); document.write( "t = 4*42 = 168 years
\n" ); document.write( "=====================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "============
\n" ); document.write( "
\n" );