document.write( "Question 811253: Help plz!!\r
\n" ); document.write( "\n" ); document.write( "After a pollutant is dumped into a lake, each year the amount of pollutant is reduced by 18%. Considering the function A(t)=Ao(0.82)^t, the lake will be safe to swim in when the pollutant is reduced to 0.1Ao. After how many years will the lake be safe?\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #488692 by josgarithmetic(39633)\"\" \"About 
You can put this solution on YOUR website!
Find t when \"0.1Ao=Ao%280.82%29%5Et\"
\n" ); document.write( "'
\n" ); document.write( "\"0.1=%280.82%29%5Et\"\r
\n" ); document.write( "\n" ); document.write( "\"log%2810%2C0.1%29=log%2810%2C%280.82%5Et%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"-1=t%2Alog%2810%2C0.82%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"t=%28-1%29%2F%28log%2810%2C0.82%29%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"t=%281%2F0.0862%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"highlight%28t=11.6%29\" years
\n" ); document.write( "
\n" );