document.write( "Question 1034816: solve log3 |2x-11|=5\r
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document.write( "please explain \n" );
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Algebra.Com's Answer #649500 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! To solve this, \n" ); document.write( "log3 |2x-11| = 5 \n" ); document.write( "we have to first look at what |2x-11| must equal... \n" ); document.write( "Well, the log of 3^5 to the base three equals 5, so we have \n" ); document.write( "|2x - 11| = 3^5 = 243 \n" ); document.write( "Now there are two equations we write from here \n" ); document.write( "2x - 11 = 243 and 2x - 11 = -243 \n" ); document.write( "Solving both gives us \n" ); document.write( "2x = 254 and 2x = -232 \n" ); document.write( "x = 127 and x = -116 \n" ); document.write( " |