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

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


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

Reorder the terms:
2ln(3 + x) + ln(x + -1) = 0
(3 * 2ln + x * 2ln) + ln(x + -1) = 0
(6ln + 2lnx) + ln(x + -1) = 0

Reorder the terms:
6ln + 2lnx + ln(-1 + x) = 0
6ln + 2lnx + (-1 * ln + x * ln) = 0
6ln + 2lnx + (-1ln + lnx) = 0

Reorder the terms:
6ln + -1ln + 2lnx + lnx = 0

Combine like terms: 6ln + -1ln = 5ln
5ln + 2lnx + lnx = 0

Combine like terms: 2lnx + lnx = 3lnx
5ln + 3lnx = 0

Solving
5ln + 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(5 + 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 '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Add '-3x' to each side of the equation.
3x + -3x = -5 + -3x

Combine like terms: 3x + -3x = 0
0 = -5 + -3x

Simplifying
0 = -5 + -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:

| 3x-63=-3x-9 | | (X)+(2X)+(2X+5)=100 | | 3x+19=76 | | 20logk=-10 | | .011x=100 | | (X)+(2X)+(2X-5)=100 | | (X)+(0.5X)+(0.5X-5)=100 | | z^2+1.2z+0.45=0 | | 54=c-83 | | 5s=-14 | | 4m+3n=5 | | 3x^2-px+1=0 | | m(4m-2)=0 | | px^2+3x-4=0 | | -x^3+11x^2-36x+36=0 | | -√49/36 | | 11-3y=-1 | | -2x*3xy= | | 5x+9=27-x | | x^4+4x+20=0 | | 5x-20=y | | -2=-8+2v | | m+na+nx=ma | | x^2+3x+3-8=0 | | (7x-3y)-(8y+3x)= | | -2+5u=13 | | 5h-4=14+2h | | 4=3u+u | | 8v-5v=6 | | .03x=500 | | F(x)=2x^5-3x^2 | | x+(x*0.3)=48000 |

Equations solver categories