document.write( "Question 833593: Please give formulas used and step explanations.
\n" ); document.write( "Solve for X:
\n" ); document.write( "Log(7x+1)=log(x-2)+1
\n" ); document.write( "Thank you very much. \n" ); document.write( "

Algebra.Com's Answer #502726 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve for X:
\n" ); document.write( " $\"log%28%287x%2B1%29%29=log%28%28x-2%29%29%2B1\"$
\n" ); document.write( " $\"log%28%287x%2B1%29%29-log%28%28x-2%29%29=1\"$
\n" ); document.write( "negative sign means division in logs
\n" ); document.write( " $\"log%28%28%287x%2B1%29%2F%28x-2%29%29%29=1\"$
\n" ); document.write( "convert to exponential form: base(10) raised to log of number(1)=number((7x+1)/(x-2))
\n" ); document.write( "10^1=(7x+1)/(x-2)
\n" ); document.write( "10(x-2)=7x+1
\n" ); document.write( "10x-20=7x+1
\n" ); document.write( "3x=21
\n" ); document.write( "x=7
\n" ); document.write( "check:
\n" ); document.write( "log(7x+1)=log(50)≈1.69897
\n" ); document.write( "log(x+2)+1=log(5)+1=1.69897
\n" ); document.write( "left side=right side \n" ); document.write( "

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