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

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


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

Multiply ln * x
lnx + ln(2x + -1) = 0

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

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

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

Solving
-1ln + 3lnx = 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 + 3x) = 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 + 3x)' equal to zero and attempt to solve:

Simplifying
-1 + 3x = 0

Solving
-1 + 3x = 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 + 3x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3x = 0 + 1
3x = 0 + 1

Combine like terms: 0 + 1 = 1
3x = 1

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

Combine like terms: 3x + -3x = 0
0 = 1 + -3x

Simplifying
0 = 1 + -3x

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:

| -1.5x+3=x-7 | | 23x+56+7x=14-3x+65 | | 7x=34x | | 14=4x+8 | | x/12=27/x | | 4x+3+20=40+3x | | 14=2(x-7) | | 28-8=56 | | 16/x=x/4 | | -x^2+35+750=0 | | 4/x=x/49 | | 3x+14=18+x | | x*0.6+5*0.4=5 | | x*0.6+6*0.4=5 | | -2(x-7)-46=3x-5(x-2) | | -29x^2+1015x+21750=0 | | 4/x-2=2/3 | | 2y+5x=90 | | 18x-2=9x-7 | | 12+x=5*12 | | 4(x+7)=3(2+3x) | | 20x*lnx+10x=0 | | 3*x(x-5)=0 | | 4+m/3=5-m/6 | | 3y-(7y+9)=8-(13y-5) | | 12-n=-75 | | 2x+21=4 | | 2(x-2)=x | | -x^2+48x+322=0 | | 13+7p=8p | | 4x+x=2+3x | | -19x^2+912x+6118=0 |

Equations solver categories