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

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

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

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

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

Combine like terms: 5ln + -1ln = 4ln
4ln + lnx = ln(x + -3)

Reorder the terms:
4ln + lnx = ln(-3 + x)
4ln + lnx = (-3 * ln + x * ln)
4ln + lnx = (-3ln + lnx)

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

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

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

Solving
4ln = -3ln

Solving for variable 'l'.

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

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

Combine like terms: 4ln + 3ln = 7ln
7ln = -3ln + 3ln

Combine like terms: -3ln + 3ln = 0
7ln = 0

Divide each side by '7'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.