=ln(2e+1)-1

Solution for =ln(2e+1)-1 equation:

Simplifying
0 = ln(2e + 1) + -1

Reorder the terms:
0 = ln(1 + 2e) + -1
0 = (1 * ln + 2e * ln) + -1

Reorder the terms:
0 = (2eln + 1ln) + -1
0 = (2eln + 1ln) + -1

Reorder the terms:
0 = -1 + 2eln + 1ln

Solving
0 = -1 + 2eln + 1ln

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-2eln' to each side of the equation.
0 + -2eln = -1 + 2eln + -2eln + 1ln
Remove the zero:
-2eln = -1 + 2eln + -2eln + 1ln

Combine like terms: 2eln + -2eln = 0
-2eln = -1 + 0 + 1ln
-2eln = -1 + 1ln

Divide each side by '-2ln'.
e = 0.5l-1n-1 + -0.5

Simplifying
e = 0.5l-1n-1 + -0.5

Reorder the terms:
e = -0.5 + 0.5l-1n-1