document.write( "Question 446445: Solve the logarithmic equation for x. (Round your answer to four decimal places.)
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document.write( "ln(x − 6) + ln(x + 7) = 1 \n" );
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Algebra.Com's Answer #307575 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Solve the logarithmic equation for x. (Round your answer to four decimal places.) \n" ); document.write( "ln(x - 6) + ln(x + 7) = 1 \n" ); document.write( ": \n" ); document.write( "Adding logs is multiply \n" ); document.write( "ln((x-6)*(x+7)) = 1 \n" ); document.write( ": \n" ); document.write( "FOIL \n" ); document.write( "ln(x^2 + 7x - 6x - 42) = 1 \n" ); document.write( "ln(x^2 + x - 42) = 1) \n" ); document.write( "exponent equiv \n" ); document.write( "x^2 + x - 42 = e^1 \n" ); document.write( "which is \n" ); document.write( "x^2 + x - 42 = 2.71828 \n" ); document.write( "x^2 + x - 42 - 2.71828 = 0 \n" ); document.write( "x^2 + x - 44.71828 = 0 \n" ); document.write( "use the quadratic formula is find x \n" ); document.write( " x = -7.2058 \n" ); document.write( " x = 6.2058; only the positive solution can be used here\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |