document.write( "Question 1071259: What is the equation for an exponential function that passes through the points (1,2) and (3,8)? \n" ); document.write( "

Algebra.Com's Answer #686200 by Fombitz(32388) $\"\"$ $\"About$

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$\"y=ae%5E%28bx%29\"$
\n" ); document.write( "At $\"x=1\"$ ,
\n" ); document.write( " $\"y=ae%5Eb=2\"$
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\n" ); document.write( "At $\"x=3\"$ ,
\n" ); document.write( " $\"y=ae%5E%283b%29=8\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"%28ae%5E%283b%29%29%2F%28ae%5E%28b%29%29=8%2F2=4\"$
\n" ); document.write( " $\"e%5E%282b%29=4\"$
\n" ); document.write( " $\"b=ln%282%29\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"ae%5E%28ln%282%29%29=2\"$
\n" ); document.write( " $\"2a=2\"$
\n" ); document.write( " $\"a=1\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"y=e%5E%28ln%282%29x%29\"$
\n" ); document.write( " $\"highlight%28y=2%5Ex%29\"$ \r
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