document.write( "Question 1034220: A population of bacteria is growing according to the exponential model P = 100e^.70t, where P is the number of colonies and t is measured in hours. After how many hours will 300 colonies be present? [Round answer to the nearest tenth.] \n" ); document.write( "

Algebra.Com's Answer #648818 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+P+=+100%2Ae%5E%28.7t%29+\"$
\n" ); document.write( " $\"+P+=+300+\"$
\n" ); document.write( " $\"+300+=+100%2Ae%5E%28.7t%29+\"$
\n" ); document.write( " $\"+3+=+e%5E%28.7t%29+\"$
\n" ); document.write( "Take the natural log of both sides
\n" ); document.write( " $\"+ln%283%29+=+.7t+\"$
\n" ); document.write( " $\"+.7t+=+1.09861+\"$
\n" ); document.write( " $\"+t+=+1.5694+\"$
\n" ); document.write( "300 colonies will be present in 1.6 hrs
\n" ); document.write( "------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+300+=+100%2Ae%5E%28.7t%29+\"$
\n" ); document.write( " $\"+300+=+100%2Ae%5E%28.7%2A1.5694%29+\"$
\n" ); document.write( " $\"+300+=+100%2Ae%5E1.09861+\"$
\n" ); document.write( " $\"+300+=+100%2A3+\"$
\n" ); document.write( " $\"+300+=+300+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );