ln(3c-2)=ln(c^2)

Solution for ln(3c-2)=ln(c^2) equation:

Simplifying
ln(3c + -2) = ln(c2)

Reorder the terms:
ln(-2 + 3c) = ln(c2)
(-2 * ln + 3c * ln) = ln(c2)

Reorder the terms:
(3cln + -2ln) = ln(c2)
(3cln + -2ln) = ln(c2)

Multiply ln * c2
3cln + -2ln = c2ln

Solving
3cln + -2ln = c2ln

Solving for variable 'c'.

Reorder the terms:
3cln + -1c2ln + -2ln = c2ln + -1c2ln

Combine like terms: c2ln + -1c2ln = 0
3cln + -1c2ln + -2ln = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(3c + -1c2 + -2) = 0

Factor a trinomial.
ln((-1c + 1)(c + -2)) = 0

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

Simplifying
ln = 0

Solving
ln = 0

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

Add '-1ln' to each side of the equation.
ln + -1ln = 0 + -1ln
Remove the zero:
0 = -1ln

Simplifying
0 = -1ln

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 '(-1c + 1)' equal to zero and attempt to solve:

Simplifying
-1c + 1 = 0

Reorder the terms:
1 + -1c = 0

Solving
1 + -1c = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1c = 0 + -1
-1c = 0 + -1

Combine like terms: 0 + -1 = -1
-1c = -1

Divide each side by '-1'.
c = 1

Simplifying
c = 1
Subproblem 3
Set the factor '(c + -2)' equal to zero and attempt to solve:

Simplifying
c + -2 = 0

Reorder the terms:
-2 + c = 0

Solving
-2 + c = 0

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

Add '2' to each side of the equation.
-2 + 2 + c = 0 + 2

Combine like terms: -2 + 2 = 0
0 + c = 0 + 2
c = 0 + 2

Combine like terms: 0 + 2 = 2
c = 2

Simplifying
c = 2
Solution
c = {1, 2}