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

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

Simplifying
ln(y + -7) + -1ln(6) = x + ln(x)

Reorder the terms:
ln(-7 + y) + -1ln(6) = x + ln(x)
(-7 * ln + y * ln) + -1ln(6) = x + ln(x)
(-7ln + lny) + -1ln(6) = x + ln(x)

Reorder the terms for easier multiplication:
-7ln + lny + -1 * 6ln = x + ln(x)

Multiply -1 * 6
-7ln + lny + -6ln = x + ln(x)

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

Combine like terms: -7ln + -6ln = -13ln
-13ln + lny = x + ln(x)

Multiply ln * x
-13ln + lny = x + lnx

Reorder the terms:
-13ln + lny = lnx + x

Solving
-13ln + lny = lnx + x

Solving for variable 'l'.

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

Add '-1lnx' to each side of the equation.
-13ln + -1lnx + lny = lnx + -1lnx + x

Combine like terms: lnx + -1lnx = 0
-13ln + -1lnx + lny = 0 + x
-13ln + -1lnx + lny = x

Combine like terms: x + -1x = 0
-13ln + -1lnx + lny + -1x = 0

The solution to this equation could not be determined.