Ln(x-3)+ln(2)=ln(18)

Solution for Ln(x-3)+ln(2)=ln(18) equation:

Simplifying
Ln(x + -3) + ln(2) = ln(18)

Reorder the terms:
nL(-3 + x) + ln(2) = ln(18)
(-3 * nL + x * nL) + ln(2) = ln(18)
(-3nL + nxL) + ln(2) = ln(18)

Reorder the terms for easier multiplication:
-3nL + nxL + 2ln = ln(18)

Reorder the terms:
2ln + -3nL + nxL = ln(18)

Reorder the terms for easier multiplication:
2ln + -3nL + nxL = 18ln

Solving
2ln + -3nL + nxL = 18ln

Solving for variable 'l'.

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

Add '-18ln' to each side of the equation.
2ln + -3nL + -18ln + nxL = 18ln + -18ln

Reorder the terms:
2ln + -18ln + -3nL + nxL = 18ln + -18ln

Combine like terms: 2ln + -18ln = -16ln
-16ln + -3nL + nxL = 18ln + -18ln

Combine like terms: 18ln + -18ln = 0
-16ln + -3nL + nxL = 0

Add '3nL' to each side of the equation.
-16ln + -3nL + 3nL + nxL = 0 + 3nL

Combine like terms: -3nL + 3nL = 0
-16ln + 0 + nxL = 0 + 3nL
-16ln + nxL = 0 + 3nL
Remove the zero:
-16ln + nxL = 3nL

Add '-1nxL' to each side of the equation.
-16ln + nxL + -1nxL = 3nL + -1nxL

Combine like terms: nxL + -1nxL = 0
-16ln + 0 = 3nL + -1nxL
-16ln = 3nL + -1nxL

Divide each side by '-16n'.
l = -0.1875L + 0.0625xL

Simplifying
l = -0.1875L + 0.0625xL