document.write( "Question 634580: Hello.
\n" ); document.write( "I recently got this question and I would really appreciate it if someone could tell me if it's correct:\r
\n" ); document.write( "\n" ); document.write( "Solve for x in, log(base x)(5 + 3x - x^2) = 2
\n" ); document.write( "my solution:\r
\n" ); document.write( "\n" ); document.write( "x^2 = 5 + 3x - x^2
\n" ); document.write( "x^2 + x^2 = 5 + 3x
\n" ); document.write( "2x^2 = 5 + 3x
\n" ); document.write( "2x^2 - 5 - 3x = 0
\n" ); document.write( "2x^2 + 2x - 5x - 5 = 0
\n" ); document.write( "2x(x + 1) - 5(x + 1) = 0
\n" ); document.write( "(2x - 5)(x + 1) = 0
\n" ); document.write( "---------------------------------------------
\n" ); document.write( "Therefore x = 5/2 OR x = 1
\n" ); document.write( "Is this correct? Thanks in advance. \n" ); document.write( "

Algebra.Com's Answer #399713 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
\n" );
document.write( "Hi,
\n" );
document.write( "log(base x)(5 + 3x - x^2) = 2
\n" );
document.write( " my solution: 
\n" );
document.write( "x^2 = 5 + 3x - x^2
\n" );
document.write( " x^2 + x^2 = 5 + 3x
\n" );
document.write( " 2x^2 = 5 + 3x
\n" );
document.write( " 2x^2 - 5 - 3x = 0
\n" );
document.write( " 2x^2 + 2x - 5x - 5 = 0
\n" );
document.write( " 2x(x + 1) - 5(x + 1) = 0
\n" );
document.write( " (2x - 5)(x + 1) = 0    Yes.  Good work!
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document.write( "Following thru to the finish...
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document.write( "  x = 5/4  OR x =      
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document.write( "Note:  and 
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document.write( "Always a good idea to check answers found,when it is possible to do so \n" );
document.write( "

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