document.write( "Question 43262: solve x\r
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document.write( "logx 25 = -2\r
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document.write( "***the x is subscript of log \n" );
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Algebra.Com's Answer #28295 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! solve for x \r\n" ); document.write( "logx 25 = -2 \r\n" ); document.write( "\r\n" ); document.write( "Use the rule that says: \r\n" ); document.write( "\r\n" ); document.write( "A logarithmic equation of the form\r\n" ); document.write( "\r\n" ); document.write( " logBA = C\r\n" ); document.write( "\r\n" ); document.write( "is equivalent to and can be rewritten\r\n" ); document.write( "as the exponential equation\r\n" ); document.write( "\r\n" ); document.write( " BC = A\r\n" ); document.write( "\r\n" ); document.write( "So we rewrite\r\n" ); document.write( "\r\n" ); document.write( " logx25 = -2\r\n" ); document.write( "\r\n" ); document.write( "as\r\n" ); document.write( "\r\n" ); document.write( " x-2 = 25\r\n" ); document.write( "\r\n" ); document.write( "Then we write the x-2 as 1/x2\r\n" ); document.write( "\r\n" ); document.write( " 1/x2 = 25\r\n" ); document.write( "\r\n" ); document.write( "Multiply both sides by x2:\r\n" ); document.write( "\r\n" ); document.write( " 1 = 25x2\r\n" ); document.write( "\r\n" ); document.write( "Divide both sides by 25 \r\n" ); document.write( "\r\n" ); document.write( " 1/25 = x2 \r\n" ); document.write( "\r\n" ); document.write( "Take positive square roots of both sides\r\n" ); document.write( "(logarithm bases must be positive and ¹ 1,\r\n" ); document.write( "by definition)\r\n" ); document.write( " \r\n" ); document.write( " 1/5 = x\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |