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)
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Algebra.Com's Answer #711841 by KMST(5328)\"\" \"About 
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Let the exponential function be
\n" ); document.write( "\"f%28x%29=A%2Ab%5Ex\" , with \"b%3E0\" .
\n" ); document.write( "We know that
\n" ); document.write( "\"f%282%29=A%2Ab%5E2=36\"
\n" ); document.write( "\"f%284%29=A%2Ab%5E4=324\"
\n" ); document.write( "So,
\n" ); document.write( "\"A%2Ab%5E4%2F%28A%2Ab%5E2%29=324%2F36\" --> \"b%5E2=9\" --> \"b=3\" .
\n" ); document.write( "Substituting the value found for \"b\" into \"A%2Ab%5E2=36\" ,
\n" ); document.write( "we get \"A%2A3%5E2=36\" --> \"A%2A9=36\" --> \"A=36%2F9\" --> \"A=4\" .
\n" ); document.write( "The function is
\n" ); document.write( "\"highlight%28f%28x%29=4%2A3%5Ex%29\" .
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