Find exact solution to 2ln(2x+1) - 10 =0

Isolate the 'ln term'
2ln(2x+1) = 10ln(2x+1) = 5
Take to the exponential power form
e^(ln(2x+1)) = e^52x+1 = e^5
Simplify
2x = e^5 -1x = (e^5-1)/2