document.write( "Question 958171: Need to know how to solve ln(x/3+1)+ln(1/x)=2 \n" ); document.write( "

Algebra.Com's Answer #585557 by rothauserc(4718) $\"\"$ $\"About$

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ln(x/3+1)+ln(1/x)=2
\n" ); document.write( "assuming x is positive, use logarithm product rule and we have
\n" ); document.write( "ln ( (x/3 + 1) * (1/x) ) = 2
\n" ); document.write( "ln (1/3 + 1/x ) = 2
\n" ); document.write( "use definition of logarithms
\n" ); document.write( "1/3 + 1/x = e^2
\n" ); document.write( "1/x = e^2 - 1/3
\n" ); document.write( "1/x = (3e^2 - 1) / 3
\n" ); document.write( "cross multiply fractions
\n" ); document.write( "(3e^2 - 1)*x = 3
\n" ); document.write( "x = 3 / (3e^2 - 1)\r
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