document.write( "Question 1000525: Find the exponential function of the given form that contains the given points.
\n" ); document.write( "Form: f(x)= c*(a^x)
\n" ); document.write( "Points: (0,4) and (4, 324)
\n" ); document.write( "I know the answer is f(x)=4*3^x,
\n" ); document.write( "Please explain, thanks! \n" ); document.write( "

Algebra.Com's Answer #617921 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
\r
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\n" ); document.write( "\n" ); document.write( "If (0,4) is a point on the graph of

then

. Since any number to the zero power is 1, we know that

.\r
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\n" ); document.write( "\n" ); document.write( "If (4,324) is a point on the graph of

, then

. But we know that

, so

, which is to say

.\r
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\n" ); document.write( "\n" ); document.write( "All you need now is to find the value of

which is the 4th root of 81.\r
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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it\r
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