Ln(x-3)+ln(4)=ln(10)

Solution for Ln(x-3)+ln(4)=ln(10) equation:

Simplifying
Ln(x + -3) + ln(4) = ln(10)

Reorder the terms:
nL(-3 + x) + ln(4) = ln(10)
(-3 * nL + x * nL) + ln(4) = ln(10)
(-3nL + nxL) + ln(4) = ln(10)

Reorder the terms for easier multiplication:
-3nL + nxL + 4ln = ln(10)

Reorder the terms:
4ln + -3nL + nxL = ln(10)

Reorder the terms for easier multiplication:
4ln + -3nL + nxL = 10ln

Solving
4ln + -3nL + nxL = 10ln

Solving for variable 'l'.

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

Add '-10ln' to each side of the equation.
4ln + -3nL + -10ln + nxL = 10ln + -10ln

Reorder the terms:
4ln + -10ln + -3nL + nxL = 10ln + -10ln

Combine like terms: 4ln + -10ln = -6ln
-6ln + -3nL + nxL = 10ln + -10ln

Combine like terms: 10ln + -10ln = 0
-6ln + -3nL + nxL = 0

Add '3nL' to each side of the equation.
-6ln + -3nL + 3nL + nxL = 0 + 3nL

Combine like terms: -3nL + 3nL = 0
-6ln + 0 + nxL = 0 + 3nL
-6ln + nxL = 0 + 3nL
Remove the zero:
-6ln + nxL = 3nL

Add '-1nxL' to each side of the equation.
-6ln + nxL + -1nxL = 3nL + -1nxL

Combine like terms: nxL + -1nxL = 0
-6ln + 0 = 3nL + -1nxL
-6ln = 3nL + -1nxL

Divide each side by '-6n'.
l = -0.5L + 0.1666666667xL

Simplifying
l = -0.5L + 0.1666666667xL