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

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

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

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

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

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

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

Solving for variable 'l'.

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

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

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

Combine like terms: 5ln + -5ln = 0
-3 + -4ln + 2lnx = 0 + lnx
-3 + -4ln + 2lnx = lnx

Add '-1lnx' to each side of the equation.
-3 + -4ln + 2lnx + -1lnx = lnx + -1lnx

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

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

Add '3' to each side of the equation.
-3 + -4ln + 3 + 1lnx = 0 + 3

Reorder the terms:
-3 + 3 + -4ln + 1lnx = 0 + 3

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

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

Reorder the terms:
-3 + -4ln + 1lnx = 3 + -3

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

The solution to this equation could not be determined.