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

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

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

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

Multiply ln * x
5ln + lnx + -1ln(x + 1) = ln(2)

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

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

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

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

Reorder the terms for easier multiplication:
4ln = 2ln

Solving
4ln = 2ln

Solving for variable 'l'.

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

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

Combine like terms: 4ln + -2ln = 2ln
2ln = 2ln + -2ln

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

Divide each side by '2'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.