document.write( "Question 1155241: Find an exponential function of the form
\n" ); document.write( "f(x) = ba^x
\n" ); document.write( " that has the given y-intercept and passes through the point P.
\n" ); document.write( "y-intercept 8; P(3, 1)\r
\n" ); document.write( "\n" ); document.write( "I get 1/2 but my computer says it is wrong and I have redone the problem several times.
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Algebra.Com's Answer #777795 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
\"f%28x%29+=+ba%5Ex\"\r
\n" ); document.write( "\n" ); document.write( " given \r
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\n" ); document.write( "\n" ); document.write( "y-intercept \"8\";=> is at point (\"0\", \"8\")\r
\n" ); document.write( "\n" ); document.write( "P(\"3\", \"1\")\r
\n" ); document.write( "\n" ); document.write( "recall that \"f%28x%29+=+y\"\r
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\n" ); document.write( "\n" ); document.write( "\"f%28x%29+=+ba%5Ex\"....use point (\"0\", \"8\")\r
\n" ); document.write( "\n" ); document.write( "\"8+=+ba%5E0\"\r
\n" ); document.write( "\n" ); document.write( "\"8+=+b%2A1\".....solve for \"b\"\r
\n" ); document.write( "\n" ); document.write( "\"b=8\"........eq.1\r
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\n" ); document.write( "\n" ); document.write( "\"f%28x%29+=+ba%5Ex\"....use point P(\"3\", \"1\")\r
\n" ); document.write( "\n" ); document.write( "\"1+=+8a%5E3\".....solve for \"a\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5E3=1%2F8\"\r
\n" ); document.write( "\n" ); document.write( "\"a=root%283%2C1%2F8%29\"\r
\n" ); document.write( "\n" ); document.write( "\"a=root%283%2C1%2F2%5E3%29\"\r
\n" ); document.write( "\n" ); document.write( "\"a=1%2F2\"........eq.2\r
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\n" ); document.write( "\n" ); document.write( "from eq.1 and eq.2 we have\r
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\n" ); document.write( "\n" ); document.write( "\"f%28x%29+=+8%2A%281%2F2%29%5Ex\"\r
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