document.write( "Question 531039: How can I solve this log equation? 2log
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document.write( "So far I have this:
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document.write( "logbase3(x+4)^2 minus logbase3 9=2
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document.write( "logbase3=(x+4)^2 divided by 9 =2
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document.write( "3^2(x+4)^2 divided by 9
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document.write( "9(x+4)^2 divided by 9
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document.write( "divide by 9 on both sides
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document.write( "81=(x+4)^2 = (x+2)(x+2)\r
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document.write( "I'm not sure where I am not doing it right.
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document.write( "Thanks for you're help
Algebra.Com's Answer #350615 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! How can I solve this log equation? 2log(x+4)-log9=2 \n" ); document.write( "** \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "use following quadratic equation if factoring difficult. \n" ); document.write( ".. \n" ); document.write( " \n" ); document.write( ".. \n" ); document.write( " |