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

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

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

Reorder the terms for easier multiplication:
7ln + ln(x + 6) = x + ln(x)

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

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

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

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

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

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

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

Solving
13ln = x

Solving for variable 'l'.

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

Divide each side by '13n'.
l = 0.07692307692n-1x

Simplifying
l = 0.07692307692n-1x