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

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

Simplifying
ln(y + -5) + -1ln(5) = x + ln(x)

Reorder the terms:
ln(-5 + y) + -1ln(5) = x + ln(x)
(-5 * ln + y * ln) + -1ln(5) = x + ln(x)
(-5ln + lny) + -1ln(5) = x + ln(x)

Reorder the terms for easier multiplication:
-5ln + lny + -1 * 5ln = x + ln(x)

Multiply -1 * 5
-5ln + lny + -5ln = x + ln(x)

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

Combine like terms: -5ln + -5ln = -10ln
-10ln + lny = x + ln(x)

Multiply ln * x
-10ln + lny = x + lnx

Reorder the terms:
-10ln + lny = lnx + x

Solving
-10ln + 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.
-10ln + -1lnx + lny = lnx + -1lnx + x

Combine like terms: lnx + -1lnx = 0
-10ln + -1lnx + lny = 0 + x
-10ln + -1lnx + lny = x

Combine like terms: x + -1x = 0
-10ln + -1lnx + lny + -1x = 0

The solution to this equation could not be determined.