Question 289249
{{{Ln(2x+1)-1=Ln(x-2)}}}
{{{Ln(2x+1)-Ln(x-2) = 1}}}
{{{Ln((2x+1)/(x-2)) = 1}}}
{{{e^(Ln((2x+1)/(x-2))) = e^1}}}
{{{(2x+1)/(x-2) = 2.7183}}}
{{{2x+1 = 2.7183(x-2)}}}
{{{2x + 1 = 2.7183x - 5.4366}}}
{{{6.4366 = 0.7183x}}}
{{{6.4366/0.7183 = x }}}
{{{8.961 = x}}}

Round off error in the difference in the results. Keep more significant digits and the answer will come closer to the one in your book