ln(x)+6=ln(-9x+3)

Solution for ln(x)+6=ln(-9x+3) equation:

Simplifying
ln(x) + 6 = ln(-9x + 3)

Multiply ln * x
lnx + 6 = ln(-9x + 3)

Reorder the terms:
6 + lnx = ln(-9x + 3)

Reorder the terms:
6 + lnx = ln(3 + -9x)
6 + lnx = (3 * ln + -9x * ln)
6 + lnx = (3ln + -9lnx)

Solving
6 + lnx = 3ln + -9lnx

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.
6 + -3ln + lnx = 3ln + -3ln + -9lnx

Combine like terms: 3ln + -3ln = 0
6 + -3ln + lnx = 0 + -9lnx
6 + -3ln + lnx = -9lnx

Add '9lnx' to each side of the equation.
6 + -3ln + lnx + 9lnx = -9lnx + 9lnx

Combine like terms: lnx + 9lnx = 10lnx
6 + -3ln + 10lnx = -9lnx + 9lnx

Combine like terms: -9lnx + 9lnx = 0
6 + -3ln + 10lnx = 0

Add '-6' to each side of the equation.
6 + -3ln + -6 + 10lnx = 0 + -6

Reorder the terms:
6 + -6 + -3ln + 10lnx = 0 + -6

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

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

Reorder the terms:
6 + -3ln + 10lnx = -6 + 6

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

The solution to this equation could not be determined.