document.write( "Question 540612: I'm having trouble understanding Logarithm problems. \r
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document.write( "Please help me solve:\r
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document.write( "log3(x^2-5) = 2 + log3(x^2+8) \n" );
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Algebra.Com's Answer #353786 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! I'm having trouble understanding Logarithm problems. \n" ); document.write( "Please help me solve: \n" ); document.write( "log3(x^2-5) = 2 + log3(x^2+8) \n" ); document.write( "log3(x^2-5) - log3(x^2+8)=2 \n" ); document.write( "place under single log \n" ); document.write( "log3[(x^2-5)/(x^2+8)]=2 \n" ); document.write( "convert to exponential form: base(3) raised to log of number(2)=number[(x^2-5)/(x^2+8)] \n" ); document.write( "3^2=(x^2-5)/(x^2+8)=9 \n" ); document.write( "9x^2+72=x^2-5 \n" ); document.write( "8x^2=-77 \n" ); document.write( "x^2=-77/8 \n" ); document.write( "x=±√(-77/8) \n" ); document.write( "no real solution \n" ); document.write( " |