ln(x)=ln(x-7)+ln(6)

Solution for ln(x)=ln(x-7)+ln(6) equation:

Simplifying
ln(x) = ln(x + -7) + ln(6)

Multiply ln * x
lnx = ln(x + -7) + ln(6)

Reorder the terms:
lnx = ln(-7 + x) + ln(6)
lnx = (-7 * ln + x * ln) + ln(6)
lnx = (-7ln + lnx) + ln(6)

Reorder the terms for easier multiplication:
lnx = -7ln + lnx + 6ln

Reorder the terms:
lnx = -7ln + 6ln + lnx

Combine like terms: -7ln + 6ln = -1ln
lnx = -1ln + lnx

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

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

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

Solving
0 = -1ln

Solving for variable 'l'.

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

Add 'ln' to each side of the equation.
0 + ln = -1ln + ln
Remove the zero:
ln = -1ln + ln

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

Simplifying
ln = 0

The solution to this equation could not be determined.