ln(5)-3=ln(2x+1)

Solution for ln(5)-3=ln(2x+1) equation:

Simplifying
ln(5) + -3 = ln(2x + 1)

Reorder the terms for easier multiplication:
5ln + -3 = ln(2x + 1)

Reorder the terms:
-3 + 5ln = ln(2x + 1)

Reorder the terms:
-3 + 5ln = ln(1 + 2x)
-3 + 5ln = (1 * ln + 2x * ln)
-3 + 5ln = (1ln + 2lnx)

Solving
-3 + 5ln = 1ln + 2lnx

Solving for variable 'l'.

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

Add '-1ln' to each side of the equation.
-3 + 5ln + -1ln = 1ln + -1ln + 2lnx

Combine like terms: 5ln + -1ln = 4ln
-3 + 4ln = 1ln + -1ln + 2lnx

Combine like terms: 1ln + -1ln = 0
-3 + 4ln = 0 + 2lnx
-3 + 4ln = 2lnx

Add '-2lnx' to each side of the equation.
-3 + 4ln + -2lnx = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-3 + 4ln + -2lnx = 0

Add '3' to each side of the equation.
-3 + 4ln + 3 + -2lnx = 0 + 3

Reorder the terms:
-3 + 3 + 4ln + -2lnx = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4ln + -2lnx = 0 + 3
4ln + -2lnx = 0 + 3

Combine like terms: 0 + 3 = 3
4ln + -2lnx = 3

Reorder the terms:
-3 + 4ln + -2lnx = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 4ln + -2lnx = 0

The solution to this equation could not be determined.