Ln(3)+ln(x-4)=ln(x)

Solution for Ln(3)+ln(x-4)=ln(x) equation:

Simplifying
Ln(3) + ln(x + -4) = ln(x)

Reorder the terms for easier multiplication:
3nL + ln(x + -4) = ln(x)

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

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

Multiply ln * x
-4ln + lnx + 3nL = lnx

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

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

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

Solving
-4ln + 3nL = 0

Solving for variable 'l'.

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

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

Combine like terms: 3nL + -3nL = 0
-4ln + 0 = 0 + -3nL
-4ln = 0 + -3nL
Remove the zero:
-4ln = -3nL

Divide each side by '-4n'.
l = 0.75L

Simplifying
l = 0.75L