document.write( "Question 1097432: Find the equation for an exponential function that passes through the pair of points given below. (Round all coefficients to 4 decimal places when necessary.)
\n" ); document.write( "Through (2, 36) and (4, 324)
\n" ); document.write( "

Algebra.Com's Answer #711840 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
\"y=ax%5Eb\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "(2,36)
\n" ); document.write( "\"36=a%282%5Eb%29\"
\n" ); document.write( "and
\n" ); document.write( "(4,324)
\n" ); document.write( "\"324=a%284%5Eb%29\"
\n" ); document.write( "So,
\n" ); document.write( "\"%28a%284%5Eb%29%29%2F%28a%282%5Eb%29%29=324%2F36\"
\n" ); document.write( "\"2%5Eb=9\"
\n" ); document.write( "\"b=log%282%2C%289%29%29\"
\n" ); document.write( "So then,
\n" ); document.write( "\"36=a%282%5Eb%29\"
\n" ); document.write( "\"36=a%282%5E%28log%282%2C%289%29%29%29%29\"
\n" ); document.write( "\"a=36%2F9\"
\n" ); document.write( "\"a=4\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "\"y=4x%5E%28log%289%2C%282%29%29%29\"
\n" ); document.write( ".
\n" ); document.write( "
\n" ); document.write( "
\n" );