Ln(x+1)+ln(x+3)=ln(x+13)

Solution for Ln(x+1)+ln(x+3)=ln(x+13) equation:

Simplifying
Ln(x + 1) + ln(x + 3) = ln(x + 13)

Reorder the terms:
nL(1 + x) + ln(x + 3) = ln(x + 13)
(1 * nL + x * nL) + ln(x + 3) = ln(x + 13)
(1nL + nxL) + ln(x + 3) = ln(x + 13)

Reorder the terms:
1nL + nxL + ln(3 + x) = ln(x + 13)
1nL + nxL + (3 * ln + x * ln) = ln(x + 13)
1nL + nxL + (3ln + lnx) = ln(x + 13)

Reorder the terms:
3ln + lnx + 1nL + nxL = ln(x + 13)

Reorder the terms:
3ln + lnx + 1nL + nxL = ln(13 + x)
3ln + lnx + 1nL + nxL = (13 * ln + x * ln)
3ln + lnx + 1nL + nxL = (13ln + lnx)

Add '-1lnx' to each side of the equation.
3ln + lnx + 1nL + -1lnx + nxL = 13ln + lnx + -1lnx

Reorder the terms:
3ln + lnx + -1lnx + 1nL + nxL = 13ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
3ln + 0 + 1nL + nxL = 13ln + lnx + -1lnx
3ln + 1nL + nxL = 13ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
3ln + 1nL + nxL = 13ln + 0
3ln + 1nL + nxL = 13ln

Solving
3ln + 1nL + nxL = 13ln

Solving for variable 'l'.

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

Add '-13ln' to each side of the equation.
3ln + 1nL + -13ln + nxL = 13ln + -13ln

Reorder the terms:
3ln + -13ln + 1nL + nxL = 13ln + -13ln

Combine like terms: 3ln + -13ln = -10ln
-10ln + 1nL + nxL = 13ln + -13ln

Combine like terms: 13ln + -13ln = 0
-10ln + 1nL + nxL = 0

Add '-1nL' to each side of the equation.
-10ln + 1nL + -1nL + nxL = 0 + -1nL

Combine like terms: 1nL + -1nL = 0
-10ln + 0 + nxL = 0 + -1nL
-10ln + nxL = 0 + -1nL
Remove the zero:
-10ln + nxL = -1nL

Add '-1nxL' to each side of the equation.
-10ln + nxL + -1nxL = -1nL + -1nxL

Combine like terms: nxL + -1nxL = 0
-10ln + 0 = -1nL + -1nxL
-10ln = -1nL + -1nxL

Divide each side by '-10n'.
l = 0.1L + 0.1xL

Simplifying
l = 0.1L + 0.1xL