ln(x)+ln(x+5)+ln(x-5)=ln(4x)

Solution for ln(x)+ln(x+5)+ln(x-5)=ln(4x) equation:

Simplifying
ln(x) + ln(x + 5) + ln(x + -5) = ln(4x)

Multiply ln * x
lnx + ln(x + 5) + ln(x + -5) = ln(4x)

Reorder the terms:
lnx + ln(5 + x) + ln(x + -5) = ln(4x)
lnx + (5 * ln + x * ln) + ln(x + -5) = ln(4x)
lnx + (5ln + lnx) + ln(x + -5) = ln(4x)

Reorder the terms:
lnx + 5ln + lnx + ln(-5 + x) = ln(4x)
lnx + 5ln + lnx + (-5 * ln + x * ln) = ln(4x)
lnx + 5ln + lnx + (-5ln + lnx) = ln(4x)

Reorder the terms:
5ln + -5ln + lnx + lnx + lnx = ln(4x)

Combine like terms: 5ln + -5ln = 0
0 + lnx + lnx + lnx = ln(4x)
lnx + lnx + lnx = ln(4x)

Combine like terms: lnx + lnx = 2lnx
2lnx + lnx = ln(4x)

Combine like terms: 2lnx + lnx = 3lnx
3lnx = ln(4x)

Remove parenthesis around (4x)
3lnx = ln * 4x

Reorder the terms for easier multiplication:
3lnx = 4ln * x

Multiply ln * x
3lnx = 4lnx

Solving
3lnx = 4lnx

Solving for variable 'l'.

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

Add '-4lnx' to each side of the equation.
3lnx + -4lnx = 4lnx + -4lnx

Combine like terms: 3lnx + -4lnx = -1lnx
-1lnx = 4lnx + -4lnx

Combine like terms: 4lnx + -4lnx = 0
-1lnx = 0

Divide each side by '-1'.
lnx = 0

Simplifying
lnx = 0

The solution to this equation could not be determined.