ln(x+6)-ln(x)=ln(15)

Solution for ln(x+6)-ln(x)=ln(15) equation:

Simplifying
ln(x + 6) + -1ln(x) = ln(15)

Reorder the terms:
ln(6 + x) + -1ln(x) = ln(15)
(6 * ln + x * ln) + -1ln(x) = ln(15)
(6ln + lnx) + -1ln(x) = ln(15)

Multiply ln * x
6ln + lnx + -1lnx = ln(15)

Combine like terms: lnx + -1lnx = 0
6ln + 0 = ln(15)
6ln = ln(15)

Reorder the terms for easier multiplication:
6ln = 15ln

Solving
6ln = 15ln

Solving for variable 'l'.

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

Add '-15ln' to each side of the equation.
6ln + -15ln = 15ln + -15ln

Combine like terms: 6ln + -15ln = -9ln
-9ln = 15ln + -15ln

Combine like terms: 15ln + -15ln = 0
-9ln = 0

Divide each side by '-9'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.