document.write( "Question 1205663: If f(x) = 7^x and f(x+3) -f (x+2) + f(x) = mf (x-1), then what is the value of m \n" ); document.write( "
Algebra.Com's Answer #842617 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "if \"f%28x%29=7%5Ex+\" and\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%2B3%29-f%28x%2B2%29%2Bf%28x%29=mf%28x-1%29\" then what is the value of \"m\"\r
\n" ); document.write( "\n" ); document.write( "first find following:\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%2B3%29=7%5E%28x%2B3%29=7%5Ex%2A7%5E3=343%2A7%5Ex\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%2B2%29=7%5E%28x%2B2%29=7%5Ex%2A7%5E2=49%2A7%5Ex\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x-1%29=7%5E%28x-1%29=7%5Ex%2A7%5E%28-1%29=7%5Ex%2F7\"\r
\n" ); document.write( "\n" ); document.write( "plug in\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%2B3%29-f%28x%2B2%29%2Bf%28x%29=mf%28x-1%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"343%2A7%5Ex-49%2A7%5Ex%2B7%5Ex=m%2A%287%5Ex%2F7%29\"\r
\n" ); document.write( "\n" ); document.write( "\"295+%2A7%5Ex=m%2A%287%5Ex%2F7%29\".....both sides multiply by \"7\"\r
\n" ); document.write( "\n" ); document.write( "\"7%28295+%2A7%5Ex%29=m%2A%287%5Ex%29\"\r
\n" ); document.write( "\n" ); document.write( "\"2065%2A7%5Ex=m%2A%287%5Ex%29\".....both sides divide by \"7%5Ex\"\r
\n" ); document.write( "\n" ); document.write( "\"m=2065\"\r
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