document.write( "Question 1149283: A point moves along a straight path. The function
\n" );
document.write( "f(t)=log3(t)
\n" );
document.write( " determines the distance (in meters) the point has traveled in terms of the number of seconds
\n" );
document.write( "t
\n" );
document.write( " since the point started moving.\r
\n" );
document.write( "\n" );
document.write( "How far has the point traveled 22 seconds after it started moving?\r
\n" );
document.write( "\n" );
document.write( " meters \r
\n" );
document.write( "\n" );
document.write( "If the point has traveled 2 meters, how many seconds have elapsed since it started moving?\r
\n" );
document.write( "\n" );
document.write( " seconds \r
\n" );
document.write( "\n" );
document.write( "Write a function
\n" );
document.write( "f^-1
\n" );
document.write( " that determines the number of seconds that have elapsed since the particle started moving in terms of the distance (in meters) the particle has traveled,
\n" );
document.write( "d.f^−1(d)=
\n" );
document.write( " \r
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #770653 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! when t=22, the point has moved log 66 m or 1.819 m \n" ); document.write( "2= log 3 t \n" ); document.write( "raise to 10th power \n" ); document.write( "100=3t \n" ); document.write( "t=100/3 seconds\r \n" ); document.write( "\n" ); document.write( "The inverse function is t=log (3y \n" ); document.write( "10^t=3y \n" ); document.write( "y=(1/3)(10^t)\r \n" ); document.write( "\n" ); document.write( "NOTE: I am assuming this is log 3t not log(3) t \n" ); document.write( " |