document.write( "Question 877902: Write an exponential function of the form y = ab^x that includes he given points. (1,2) and (4,128) \n" ); document.write( "
Algebra.Com's Answer #529605 by jim_thompson5910(35256)\"\" \"About 
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Plug in (x,y) = (1,2) and then solve for 'a'\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+ab%5Ex\"\r
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\n" ); document.write( "\n" ); document.write( "\"2+=+ab%5E1\"\r
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\n" ); document.write( "\n" ); document.write( "\"2+=+ab\"\r
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\n" ); document.write( "\n" ); document.write( "\"2%2Fb+=+a\"\r
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\n" ); document.write( "\n" ); document.write( "\"a+=+2%2Fb\"\r
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\n" ); document.write( "\n" ); document.write( "Then plug in (x,y) = (4,128). In addition, plug in \"a+=+2%2Fb\". Then solve for b.\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+ab%5Ex\"\r
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\n" ); document.write( "\n" ); document.write( "\"128+=+ab%5E4\"\r
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\n" ); document.write( "\n" ); document.write( "\"128+=+%282%2Fb%29%2Ab%5E4\"\r
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\n" ); document.write( "\n" ); document.write( "\"128+=+2b%5E3\"\r
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\n" ); document.write( "\n" ); document.write( "\"128%2F2+=+b%5E3\"\r
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\n" ); document.write( "\n" ); document.write( "\"64+=+b%5E3\"\r
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\n" ); document.write( "\n" ); document.write( "\"b%5E3+=+64\"\r
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\n" ); document.write( "\n" ); document.write( "\"b+=+root%283%2C64%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"b+=+4\"\r
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\n" ); document.write( "\n" ); document.write( "Go back to \"a+=+2%2Fb\" and plug in \"b=4\" to find 'a'\r
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\n" ); document.write( "\n" ); document.write( "\"a+=+2%2Fb\"\r
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\n" ); document.write( "\n" ); document.write( "\"a+=+2%2F4\"\r
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\n" ); document.write( "\n" ); document.write( "\"a+=+1%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "The equation is \"y+=+%281%2F2%29%2A%284%29%5Ex\"
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