ln(3x-1)=ln(x)

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


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

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

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

Solving
-1ln + 3lnx = lnx

Solving for variable 'l'.

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

Add '-1lnx' to each side of the equation.
-1ln + 3lnx + -1lnx = lnx + -1lnx

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

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-1 + 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 '(-1 + 2x)' equal to zero and attempt to solve:

Simplifying
-1 + 2x = 0

Solving
-1 + 2x = 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 + 2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 0 + 1
2x = 0 + 1

Combine like terms: 0 + 1 = 1
2x = 1

Add '-2x' to each side of the equation.
2x + -2x = 1 + -2x

Combine like terms: 2x + -2x = 0
0 = 1 + -2x

Simplifying
0 = 1 + -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:

| Ln(3x-1)=lnx | | 2076043812/1000=x | | 9.8+(x/5)=10.4 | | w^2-11w-42= | | x/2=76 | | 1/4z=-3 | | 1/4z=-4.5 | | X^2=.02564103 | | -2-10=(z/10) | | 2x+4=100+2.6+x | | 3w^2-23w+14= | | (4/9a)=(1/9a)+(5/6) | | 4(x+3)=8x-4 | | b+8.25=22.5 | | 12x+14=4x+118 | | 2y=-7x | | 2y^2-10y=-9 | | (2/7x)-9=(5/7x)-15 | | 3x^2-25x+28= | | 4x^2+3=-13 | | x^2-11x=-11 | | 13/14-4/7 | | -37=8+9x | | 40=10logx | | 8/3/2/3 | | 3.8=5.6-0.3x | | x/12=x/13-4 | | 4x+6x-9=21 | | -15-11x=-9 | | 0.5(-12m+6)=0.25(-20+8m) | | 7+7q=12+6q | | 2x+3=9x |

Equations solver categories