ln(x+9)=ln(x)+5

Solution for ln(x+9)=ln(x)+5 equation:

Simplifying
ln(x + 9) = ln(x) + 5

Reorder the terms:
ln(9 + x) = ln(x) + 5
(9 * ln + x * ln) = ln(x) + 5
(9ln + lnx) = ln(x) + 5

Multiply ln * x
9ln + lnx = lnx + 5

Reorder the terms:
9ln + lnx = 5 + lnx

Add '-1lnx' to each side of the equation.
9ln + lnx + -1lnx = 5 + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
9ln + 0 = 5 + lnx + -1lnx
9ln = 5 + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
9ln = 5 + 0
9ln = 5

Solving
9ln = 5

Solving for variable 'l'.

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

Divide each side by '9n'.
l = 0.5555555556n-1

Simplifying
l = 0.5555555556n-1