document.write( "Question 290802: what is x
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document.write( "log (x-3) - log 2= log(x+1) what are the steps to solve?
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Algebra.Com's Answer #210446 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! log (x-3) - log 2 = log(x+1) \n" ); document.write( ": \n" ); document.write( "Add log(2) to both sides \n" ); document.write( "log(x-3) = log(x+1) + log(2) \n" ); document.write( ": \n" ); document.write( "Subtract log(x+1) from both sides \n" ); document.write( "log(x-3) - log(x+1) = log(2) \n" ); document.write( ": \n" ); document.write( "Subtracting logs is the same as divide, therefore we can write it: \n" ); document.write( " \n" ); document.write( "the logs are equal, therefore \n" ); document.write( " \n" ); document.write( "Multiply both sides by (x+1) \n" ); document.write( "(x - 3) = 2(x+1) \n" ); document.write( ": \n" ); document.write( "x - 3 = 2x + 2 \n" ); document.write( ": \n" ); document.write( "-3 -2 = 2x - x \n" ); document.write( ": \n" ); document.write( "-5 = x \n" ); document.write( "; \n" ); document.write( "However, a solution that results in the log of a negative number is not valid. \n" ); document.write( "So we have to say no solution \n" ); document.write( " \n" ); document.write( " |