ln(y-8)=x+ln(7x)

Solution for ln(y-8)=x+ln(7x) equation:

Simplifying
ln(y + -8) = x + ln(7x)

Reorder the terms:
ln(-8 + y) = x + ln(7x)
(-8 * ln + y * ln) = x + ln(7x)
(-8ln + lny) = x + ln(7x)

Remove parenthesis around (7x)
-8ln + lny = x + ln * 7x

Reorder the terms for easier multiplication:
-8ln + lny = x + 7ln * x

Multiply ln * x
-8ln + lny = x + 7lnx

Reorder the terms:
-8ln + lny = 7lnx + x

Solving
-8ln + lny = 7lnx + x

Solving for variable 'l'.

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

Add '-7lnx' to each side of the equation.
-8ln + -7lnx + lny = 7lnx + -7lnx + x

Combine like terms: 7lnx + -7lnx = 0
-8ln + -7lnx + lny = 0 + x
-8ln + -7lnx + lny = x

Combine like terms: x + -1x = 0
-8ln + -7lnx + lny + -1x = 0

The solution to this equation could not be determined.