ln(7x+8)-ln(4x)=5

Solution for ln(7x+8)-ln(4x)=5 equation:

Simplifying
ln(7x + 8) + -1ln(4x) = 5

Reorder the terms:
ln(8 + 7x) + -1ln(4x) = 5
(8 * ln + 7x * ln) + -1ln(4x) = 5
(8ln + 7lnx) + -1ln(4x) = 5

Remove parenthesis around (4x)
8ln + 7lnx + -1ln * 4x = 5

Reorder the terms for easier multiplication:
8ln + 7lnx + -1 * 4ln * x = 5

Multiply -1 * 4
8ln + 7lnx + -4ln * x = 5

Multiply ln * x
8ln + 7lnx + -4lnx = 5

Combine like terms: 7lnx + -4lnx = 3lnx
8ln + 3lnx = 5

Solving
8ln + 3lnx = 5

Solving for variable 'l'.

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

Reorder the terms:
-5 + 8ln + 3lnx = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + 8ln + 3lnx = 0

The solution to this equation could not be determined.