document.write( "Question 920255: Find an exponential function \"f\" of the form f(x)=b^x that passes through the point (2,1/16). \n" ); document.write( "
Algebra.Com's Answer #558265 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
\"f=b%5Ex\";
\n" ); document.write( "Your one and only data point may be insufficient. Base two might be the choice for b.\r
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\n" ); document.write( "\n" ); document.write( "\"f=a%2A2%5Ex\", including a possible factor of \"a\".
\n" ); document.write( "\"log%282%2Cf%29=log%282%2Ca%29%2Blog%282%2C2%5Ex%29\"
\n" ); document.write( "\"log%282%2Cf%29=x%2Alog%282%2C2%29%2Blog%282%2Ca%29\"
\n" ); document.write( "\"log%282%2C%282%5E-4%29%29=2%2A1%2Blog%282%2Ca%29\", when the one data point is substituted.
\n" ); document.write( "\"-4=2%2Blog%282%2Ca%29\"
\n" ); document.write( "\"highlight_green%28-6=log%282%2Ca%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "Convert that into exponential form, and it means \"2%5E%28-6%29=a\";
\n" ); document.write( "\"highlight_green%28a=1%2F64%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"highlight%28f%28x%29=%281%2F64%29%282%5Ex%29%29\"
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