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

Simple and best practice solution for ln(x+1)-ln(3x-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(x+1)-ln(3x-2)=0 equation: 


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

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

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

Reorder the terms:
1ln + 2ln + lnx + -3lnx = 0

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

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

Solving
3ln + -2lnx = 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(3 + -2x) = 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 '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Add '2x' to each side of the equation.
-2x + 2x = -3 + 2x

Combine like terms: -2x + 2x = 0
0 = -3 + 2x

Simplifying
0 = -3 + 2x

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:

| 550x=17615 | | M-7.2(m-3)=21.6 | | 1+8/5 | | 3n+n^2=18 | | 106=x+x+1+x+2+x+3 | | 4x^2-21x+22=2x+7 | | 20+8x=10+10x | | 2x+62=6x+26 | | (x^5)(x^7)(x^0)= | | x/8+7=x/6+5 | | 2.5x=1342.5 | | 8*15=x | | 1/2(x-1)+3/2(x+1)=9 | | 5x-ray(3x+5)=32 | | x/7=0 | | =(5x+4w-4)(x-7w) | | 6x+34=16x+86 | | 1/4+2/6 | | x/4+3=0 | | 2x-4x=24 | | x/5+4=0 | | x/4-x/2=8 | | x/6+5=0 | | x/8+7=0 | | n^2+4n-12=64 | | 5x^3+5x^2+12x=0 | | (X+5)=1-3x | | n^2+4n-76=0 | | 4x^2+9x-5=0 | | 3000-12x=4000-160x | | 4(-6+5)=28 | | 3(3x+4)=-3(x-5) |

Equations solver categories