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

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


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

Multiply ln * x
lnx + -1ln(3x + -1) = 0

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

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

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

Solving
1ln + -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(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:

| (5+z)(5z+4)=0 | | 99/28 | | -4[n-6]=12 | | -88=2(-6x-2) | | 2[5c-7]=1 | | 3y+13+5y-5+2y+2=180 | | 6x^4-54x^4=0 | | 5(5v-8)=-140 | | 3[2w-7]=3 | | -6=-3/8y | | -3[y-5]=15 | | 5(v-8)=-140 | | 2y^3(-4y^6)= | | f(8)=8-4 | | 2(y+4)-4y= | | 30x^4-60x^3=0 | | 1/6(x-1)≥1/3(x-4) | | 1.4x-0.8=-7 | | 6x-9+3x+9= | | 6ln(x+9)-6lnx= | | 0.6x*1.7=0.7 | | 9x-24+16=0 | | 5y+3(y-8)=3(y+2)-4 | | (12)(1704)=142x | | -2/1x=-4/1 | | 4+5-4x(2-3)=x | | 2x-7=-x+11 | | 9x^2-24+16= | | -5(t-4)+7t=4t-5 | | 0.80x+0.60(20)=0.40(76) | | 7p+11b=56 | | -90=3(4n+1)+3 |

Equations solver categories