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

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

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

Reorder the terms for easier multiplication:
6ln + ln(x + -6) = ln(x)

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

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

Multiply ln * x
lnx = lnx

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.