document.write( "Question 1040053: 3^2x - 3^x+1 +2 = 0 \n" ); document.write( "
Algebra.Com's Answer #654836 by Aldorozos(172)\"\" \"About 
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\n" ); document.write( "3^2x - 3^x+1 +2 = 0
\n" ); document.write( "We can rewrite this equation
\n" ); document.write( "3^2x +2 = 3^x+1 This helps us to see everything in positive term\r
\n" ); document.write( "\n" ); document.write( "If both sides of the equal sign are equal then the log of both sides has to be equal. We find the log of both sides. This helps us to get rid of the exponent which is causing problem\r
\n" ); document.write( "\n" ); document.write( "log(3^2x +2) = log(3^x+1)
\n" ); document.write( "Using log properties we will have
\n" ); document.write( "log(3^2x + 2) = log(3^x+1)\r
\n" ); document.write( "\n" ); document.write( "log3^2x + log2 = log3^(x+1)
\n" ); document.write( "using log properties
\n" ); document.write( "2xlog3+ log2 = (x+1)log3\r
\n" ); document.write( "\n" ); document.write( "Using calculator to find the log of 2 and 3\r
\n" ); document.write( "\n" ); document.write( "2x(.477) + .301 = (x+1)(.477)
\n" ); document.write( "It is a simple equation that we have to find x
\n" ); document.write( "2.862x + .301 = .477x +.477\r
\n" ); document.write( "\n" ); document.write( "Therefore:
\n" ); document.write( "2.862x + .477x = .477 -.301
\n" ); document.write( "3.339x = .176
\n" ); document.write( "x= .176/3.39
\n" ); document.write( "x= .052\r
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