ln(x+1)+ln(3)=ln(2x)

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Solution for ln(x+1)+ln(3)=ln(2x) equation: 


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

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

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

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

Combine like terms: 1ln + 3ln = 4ln
4ln + lnx = ln(2x)

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

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

Multiply ln * x
4ln + lnx = 2lnx

Solving
4ln + lnx = 2lnx

Solving for variable 'l'.

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

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

Combine like terms: lnx + -2lnx = -1lnx
4ln + -1lnx = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
4ln + -1lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(4 + -1x) = 0


Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve:

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Add 'x' to each side of the equation.
-1x + x = -4 + x

Combine like terms: -1x + x = 0
0 = -4 + x

Simplifying
0 = -4 + x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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