document.write( "Question 846162: log(sub5)(x+10)+log(sub5)(x-10)=3\r
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document.write( "solve for x. \n" );
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Algebra.Com's Answer #509635 by stanbon(75887) ![]() You can put this solution on YOUR website! log(sub5)(x+10)+log(sub5)(x-10)=3 \n" ); document.write( "------------------- \n" ); document.write( "log5[(x+10)(x-10)] = 3 \n" ); document.write( "---- \n" ); document.write( "x^2-100 = 5^3 = 125 \n" ); document.write( "----- \n" ); document.write( "x^2 = 25 \n" ); document.write( "---- \n" ); document.write( "x = 5 or x = -5 \n" ); document.write( "---- \n" ); document.write( "Both are extraneous solutions \n" ); document.write( "because both values would make \n" ); document.write( "x-10 negative. And you can't \n" ); document.write( "have the log of a negative. \n" ); document.write( "---- \n" ); document.write( "Ans: No solution:: \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |