document.write( "Question 376226: If 3^(2x) + 9 = 10(3^x) solve for x.\r
\n" ); document.write( "\n" ); document.write( "I know that x = 2 but only because of guess an check. I know I need to use a log somewhere and other basic algebra but I can't figure out what all the steps are. I have looked through my book and some sites online and they didn't help.
\n" ); document.write( "Thanks!
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Algebra.Com's Answer #267688 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Let \"u=3%5Ex\", then \"u%5E2=%283%5Ex%29%5E2=3%5E%282x%29\",
\n" ); document.write( "\"u%5E2%2B9=10u\"
\n" ); document.write( "\"u%5E2-10u%2B9=0\"
\n" ); document.write( "\"%28u-1%29%28u-9%29=0\"
\n" ); document.write( "Two solutions:
\n" ); document.write( "\"u-1=0\"
\n" ); document.write( "\"u=1\"
\n" ); document.write( "\"3%5Ex=1\"
\n" ); document.write( "\"highlight%28x=0%29\"
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\n" ); document.write( "\"u-9=0\"
\n" ); document.write( "\"u=9\"
\n" ); document.write( "\"3%5Ex=9\"
\n" ); document.write( "\"highlight%28x=2%29\"
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