ln(x)+ln(2)=3-ln(4x)

Solution for ln(x)+ln(2)=3-ln(4x) equation:

Simplifying
ln(x) + ln(2) = 3 + -1ln(4x)

Multiply ln * x
lnx + ln(2) = 3 + -1ln(4x)

Reorder the terms for easier multiplication:
lnx + 2ln = 3 + -1ln(4x)

Reorder the terms:
2ln + lnx = 3 + -1ln(4x)

Remove parenthesis around (4x)
2ln + lnx = 3 + -1ln * 4x

Reorder the terms for easier multiplication:
2ln + lnx = 3 + -1 * 4ln * x

Multiply -1 * 4
2ln + lnx = 3 + -4ln * x

Multiply ln * x
2ln + lnx = 3 + -4lnx

Solving
2ln + lnx = 3 + -4lnx

Solving for variable 'l'.

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

Add '4lnx' to each side of the equation.
2ln + lnx + 4lnx = 3 + -4lnx + 4lnx

Combine like terms: lnx + 4lnx = 5lnx
2ln + 5lnx = 3 + -4lnx + 4lnx

Combine like terms: -4lnx + 4lnx = 0
2ln + 5lnx = 3 + 0
2ln + 5lnx = 3

Reorder the terms:
-3 + 2ln + 5lnx = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 2ln + 5lnx = 0

The solution to this equation could not be determined.