document.write( "Question 1000771: Find the exponential function of the form f(x)=ae^(bx) that passes through the points (0,2) and (6,8)
\n" ); document.write( "I know the answer is f(x)=2e[(ln4)/6]x
\n" ); document.write( "but how do you get that?
\n" ); document.write( "Thanks \n" ); document.write( "

Algebra.Com's Answer #618220 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use the points.
\n" ); document.write( " $\"y=ae%5E%28bx%29\"$
\n" ); document.write( " $\"2=ae%5E%28b%2A0%29\"$
\n" ); document.write( " $\"2=a%2A1\"$
\n" ); document.write( " $\"a=2\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"y=ae%5E%28bx%29\"$
\n" ); document.write( " $\"8=2e%5E%28b%2A6%29\"$
\n" ); document.write( " $\"4=e%5E%286b%29\"$
\n" ); document.write( " $\"ln%284%29=6b\"$
\n" ); document.write( " $\"b=ln%284%29%2F6\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " \n" ); document.write( "

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