Answer
$x = 53.598$
Work Step by Step
$\ln \sqrt {x+1} = 2$
$\sqrt {x+1} = e^{2}$
$x+1 = (e^{2})^{2}$
$x+1 = e^{4}$
$x = e^{4} - 1$
by GDC / calculator
$x = 53.59815003$
$x = 53.598$
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