document.write( "Question 531039: How can I solve this log equation? 2log(x+4)-log9=2
\n" ); document.write( "So far I have this:
\n" ); document.write( "logbase3(x+4)^2 minus logbase3 9=2
\n" ); document.write( "logbase3=(x+4)^2 divided by 9 =2
\n" ); document.write( "3^2(x+4)^2 divided by 9
\n" ); document.write( "9(x+4)^2 divided by 9
\n" ); document.write( "divide by 9 on both sides
\n" ); document.write( "81=(x+4)^2 = (x+2)(x+2)\r
\n" ); document.write( "\n" ); document.write( "I'm not sure where I am not doing it right.
\n" ); document.write( "Thanks for you're help
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Algebra.Com's Answer #350615 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
How can I solve this log equation? 2log(x+4)-log9=2
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\n" ); document.write( "2log(x+4)-log9=2
\n" ); document.write( "note: when the base not indicated, it is assumed to be base 10.
\n" ); document.write( "place under single log
\n" ); document.write( "log[(x+4)^2/9]=2
\n" ); document.write( "convert to exponential form: Base(10) raised to log of number(2)=number[(x+4)^2/9]
\n" ); document.write( "10^2=[(x+4)^2/9]=100
\n" ); document.write( "(x+4)^2=900
\n" ); document.write( "x^2+8x+16=900
\n" ); document.write( "x^2+8x-884=0
\n" ); document.write( "(x+34)(x-26)=0
\n" ); document.write( "x=-34 (reject, (x+4)>0)
\n" ); document.write( "or
\n" ); document.write( "x=26\r
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\n" ); document.write( "\n" ); document.write( "use following quadratic equation if factoring difficult.
\n" ); document.write( "..
\n" ); document.write( " \"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "..
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