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

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

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

Remove parenthesis around (3x)
nL * 3x + ln(2) = ln(3)

Reorder the terms for easier multiplication:
3nL * x + ln(2) = ln(3)

Multiply nL * x
3nxL + ln(2) = ln(3)

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

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

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

Solving
2ln + 3nxL = 3ln

Solving for variable 'l'.

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

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

Combine like terms: 2ln + -3ln = -1ln
-1ln + 3nxL = 3ln + -3ln

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

Add '-3nxL' to each side of the equation.
-1ln + 3nxL + -3nxL = 0 + -3nxL

Combine like terms: 3nxL + -3nxL = 0
-1ln + 0 = 0 + -3nxL
-1ln = 0 + -3nxL
Remove the zero:
-1ln = -3nxL

Divide each side by '-1n'.
l = 3xL

Simplifying
l = 3xL