Lnx-4[ln(x-8)+ln(x+8)]=

Solution for Lnx-4[ln(x-8)+ln(x+8)]= equation:

Simplifying
Lnx + -4[ln(x + -8) + ln(x + 8)] = 0

Reorder the terms:
nxL + -4[ln(-8 + x) + ln(x + 8)] = 0
nxL + -4[(-8 * ln + x * ln) + ln(x + 8)] = 0
nxL + -4[(-8ln + lnx) + ln(x + 8)] = 0

Reorder the terms:
nxL + -4[-8ln + lnx + ln(8 + x)] = 0
nxL + -4[-8ln + lnx + (8 * ln + x * ln)] = 0
nxL + -4[-8ln + lnx + (8ln + lnx)] = 0

Reorder the terms:
nxL + -4[-8ln + 8ln + lnx + lnx] = 0

Combine like terms: -8ln + 8ln = 0
nxL + -4[0 + lnx + lnx] = 0
nxL + -4[lnx + lnx] = 0

Combine like terms: lnx + lnx = 2lnx
nxL + -4[2lnx] = 0

Remove brackets around [2lnx]
nxL + -4 * 2lnx = 0

Multiply -4 * 2
nxL + -8lnx = 0

Reorder the terms:
-8lnx + nxL = 0

Solving
-8lnx + nxL = 0

Solving for variable 'l'.

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

Add '-1nxL' to each side of the equation.
-8lnx + nxL + -1nxL = 0 + -1nxL

Combine like terms: nxL + -1nxL = 0
-8lnx + 0 = 0 + -1nxL
-8lnx = 0 + -1nxL
Remove the zero:
-8lnx = -1nxL

Divide each side by '-8nx'.
l = 0.125L

Simplifying
l = 0.125L