ln(x-4)+ln(x+4)=ln(6x)

Solution for ln(x-4)+ln(x+4)=ln(6x) equation:

Simplifying
ln(x + -4) + ln(x + 4) = ln(6x)

Reorder the terms:
ln(-4 + x) + ln(x + 4) = ln(6x)
(-4 * ln + x * ln) + ln(x + 4) = ln(6x)
(-4ln + lnx) + ln(x + 4) = ln(6x)

Reorder the terms:
-4ln + lnx + ln(4 + x) = ln(6x)
-4ln + lnx + (4 * ln + x * ln) = ln(6x)
-4ln + lnx + (4ln + lnx) = ln(6x)

Reorder the terms:
-4ln + 4ln + lnx + lnx = ln(6x)

Combine like terms: -4ln + 4ln = 0
0 + lnx + lnx = ln(6x)
lnx + lnx = ln(6x)

Combine like terms: lnx + lnx = 2lnx
2lnx = ln(6x)

Remove parenthesis around (6x)
2lnx = ln * 6x

Reorder the terms for easier multiplication:
2lnx = 6ln * x

Multiply ln * x
2lnx = 6lnx

Solving
2lnx = 6lnx

Solving for variable 'l'.

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

Add '-6lnx' to each side of the equation.
2lnx + -6lnx = 6lnx + -6lnx

Combine like terms: 2lnx + -6lnx = -4lnx
-4lnx = 6lnx + -6lnx

Combine like terms: 6lnx + -6lnx = 0
-4lnx = 0

Divide each side by '-4'.
lnx = 0

Simplifying
lnx = 0

The solution to this equation could not be determined.