6ln(5)+8ln(6)=(6+8)ln(5*6)

Solution for 6ln(5)+8ln(6)=(6+8)ln(5*6) equation:

Simplifying
6ln(5) + 8ln(6) = (6 + 8) * ln(5 * 6)

Reorder the terms for easier multiplication:
6 * 5ln + 8ln(6) = (6 + 8) * ln(5 * 6)

Multiply 6 * 5
30ln + 8ln(6) = (6 + 8) * ln(5 * 6)

Reorder the terms for easier multiplication:
30ln + 8 * 6ln = (6 + 8) * ln(5 * 6)

Multiply 8 * 6
30ln + 48ln = (6 + 8) * ln(5 * 6)

Combine like terms: 30ln + 48ln = 78ln
78ln = (6 + 8) * ln(5 * 6)

Combine like terms: 6 + 8 = 14
78ln = (14) * ln(5 * 6)

Multiply 5 * 6
78ln = 14ln(30)

Reorder the terms for easier multiplication:
78ln = 14 * 30ln

Multiply 14 * 30
78ln = 420ln

Solving
78ln = 420ln

Solving for variable 'l'.

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

Add '-420ln' to each side of the equation.
78ln + -420ln = 420ln + -420ln

Combine like terms: 78ln + -420ln = -342ln
-342ln = 420ln + -420ln

Combine like terms: 420ln + -420ln = 0
-342ln = 0

Divide each side by '-342'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.