ln(4)=4ln(1)-5ln(3)+c

Solution for ln(4)=4ln(1)-5ln(3)+c equation:

Simplifying
ln(4) = 4ln(1) + -5ln(3) + c

Reorder the terms for easier multiplication:
4ln = 4ln(1) + -5ln(3) + c

Reorder the terms for easier multiplication:
4ln = 4 * 1ln + -5ln(3) + c

Multiply 4 * 1
4ln = 4ln + -5ln(3) + c

Reorder the terms for easier multiplication:
4ln = 4ln + -5 * 3ln + c

Multiply -5 * 3
4ln = 4ln + -15ln + c

Reorder the terms:
4ln = c + 4ln + -15ln

Combine like terms: 4ln + -15ln = -11ln
4ln = c + -11ln

Solving
4ln = c + -11ln

Solving for variable 'l'.

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

Add '11ln' to each side of the equation.
4ln + 11ln = c + -11ln + 11ln

Combine like terms: 4ln + 11ln = 15ln
15ln = c + -11ln + 11ln

Combine like terms: -11ln + 11ln = 0
15ln = c + 0
15ln = c

Divide each side by '15n'.
l = 0.06666666667cn-1

Simplifying
l = 0.06666666667cn-1