ln(3x-3)-ln(2x-2)=0

Simple and best practice solution for ln(3x-3)-ln(2x-2)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for ln(3x-3)-ln(2x-2)=0 equation: 


Simplifying
ln(3x + -3) + -1ln(2x + -2) = 0

Reorder the terms:
ln(-3 + 3x) + -1ln(2x + -2) = 0
(-3 * ln + 3x * ln) + -1ln(2x + -2) = 0
(-3ln + 3lnx) + -1ln(2x + -2) = 0

Reorder the terms:
-3ln + 3lnx + -1ln(-2 + 2x) = 0
-3ln + 3lnx + (-2 * -1ln + 2x * -1ln) = 0
-3ln + 3lnx + (2ln + -2lnx) = 0

Reorder the terms:
-3ln + 2ln + 3lnx + -2lnx = 0

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

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

Solving
-1ln + 1lnx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-1 + x) = 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 '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 0

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

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

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

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

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

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

Simplifying
0 = 1 + -1x

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.

See similar equations:

| x^8+x^4-12=0 | | 5x^10=23 | | -(2)/(3)y=(5)/(11) | | X(x+2)=10x | | F-umg=ma | | x+345=7932 | | -4+x=13 | | x-142=142 | | 5x=2y | | -16x^2+48x+5=0 | | 2(x-8)+3(x-1)=0 | | 6596575x=1435 | | 629629692g+768585532= | | 629629692g+768585532=45 | | 3575s=5647 | | 4(5x+1)(x+3)=0 | | x^3=4x-1 | | 6=1 | | 7-3x=9-9x | | -2x+4=7+-4x | | x-(-2x+(-x-(1-2x))-(1-3x))=2 | | 3a+91=2a | | 2x-(x-(-1-(5-x)))=3 | | 8-(4x-(5x+13)-(5-2x))=2x-(7-(5x+9)) | | 4-12x=3-5x | | 2x(3-x)=5 | | 6-2x=-18 | | i(z+1)=3z-2 | | 3t+8=t+17 | | 4x-(x+3-(x-1))=(3x+1)+x-5 | | 5x+5=3x+6 | | 3x+1-(5x-(4x-10))=x-6 |

Equations solver categories