document.write( "Question 861159: Please explain how you arrived at your answer. (All Logs have the standard base of 10).:
\n" ); document.write( " $\"+Log%287x%2B1%29+=+Log%28x-2%29+%2B+1+\"$ \n" ); document.write( "

Algebra.Com's Answer #518905 by rothauserc(4718) $\"\"$ $\"About$

You can put this solution on YOUR website!
Log(7x+1) = Log(x-2) + 1
\n" ); document.write( "Log(7x+1) - Log(x-2) = 1
\n" ); document.write( "subtracting logs with same base is = dividing
\n" ); document.write( "Log (7x+1 / x-2) = 1
\n" ); document.write( "from definition of log
\n" ); document.write( "7x+1 / x-2 = 10^1
\n" ); document.write( "7x+1 = 10x - 20
\n" ); document.write( "3x = 21
\n" ); document.write( "x = 7
\n" ); document.write( "check answer
\n" ); document.write( "log(50) = log(5) + 1
\n" ); document.write( "1.69897 = 0.69897 + 1
\n" ); document.write( "1.69897 = 1.69897
\n" ); document.write( "answer checks :-)\r
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