document.write( "Question 104905: Hi there, \r
\n" ); document.write( "\n" ); document.write( "I'm completely stumped. I need to solve for X:\r
\n" ); document.write( "\n" ); document.write( "(9^(2x))*(27^(x-3))=1/9\r
\n" ); document.write( "\n" ); document.write( "I graphed it, and know that the answer SHOULD be -11, but I need to see HOW to do the problem.\r
\n" ); document.write( "\n" ); document.write( "Thank you,\r
\n" ); document.write( "\n" ); document.write( "Brad Easler \n" ); document.write( "
Algebra.Com's Answer #76342 by duggie(26)\"\" \"About 
You can put this solution on YOUR website!
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • Graphical form: \"%289%5E%282x%29%29%2A%2827%5E%28x-3%29%29=1%2F9\" simplifies to \"9%5E%282%2Ax%29%2A27%5E%28x-3%29-1%2F9=0\"
  • Text form: (9^(2x))*(27^(x-3))=1/9 simplifies to 9^(2*x)*27^(x-3)-1/9=0
  • Cartoon (animation) form: \"simplify_cartoon%28+%289%5E%282x%29%29%2A%2827%5E%28x-3%29%29=1%2F9+%29\"
    For tutors: simplify_cartoon( (9^(2x))*(27^(x-3))=1/9 )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"highlight_red%28+%28highlight_red%28+9%5E%282%2Ax%29+%29%29%2A%2827%5E%28x-3%29%29+%29=1%2F9\".
Remove unneeded parentheses around factor \"highlight_red%28+9%5E%282%2Ax%29+%29\"
It becomes \"highlight_green%28+9%5E%282%2Ax%29+%29%2A%2827%5E%28x-3%29%29=1%2F9\".
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Look at \"highlight_red%28+9%5E%282%2Ax%29%2A%28highlight_red%28+27%5E%28x-3%29+%29%29+%29=1%2F9\".
Remove unneeded parentheses around factor \"highlight_red%28+27%5E%28x-3%29+%29\"
It becomes \"9%5E%282%2Ax%29%2Ahighlight_green%28+27%5E%28x-3%29+%29=1%2F9\".
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Look at \"9%5E%282%2Ax%29%2A27%5E%28x-3%29=highlight_red%28+1%2F9+%29\".
Moved these terms to the left \"highlight_green%28+-1%2F9+%29\"
It becomes \"9%5E%282%2Ax%29%2A27%5E%28x-3%29-highlight_green%28+1%2F9+%29=0\".
Result: \"9%5E%282%2Ax%29%2A27%5E%28x-3%29-1%2F9=0\"
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Universal Simplifier and Solver

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Done!

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