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

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


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

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

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

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

Combine like terms: 1ln + 1ln = 2ln
2ln + lnx + lnx = ln(x + 3)

Combine like terms: lnx + lnx = 2lnx
2ln + 2lnx = ln(x + 3)

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

Solving
2ln + 2lnx = 3ln + lnx

Solving for variable 'l'.

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

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

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-1 + x) = 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 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Add '-1x' to each side of the equation. x + -1x = 1 + -1x Combine like terms: x + -1x = 0 0 = 1 + -1x Simplifying 0 = 1 + -1x 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:

| 5x(23-x)+1= | | 3x-20+2x-15=2x | | (a+12)2+a*2=64 | | c+2=48 | | 4x^2+4x-x-1=2x-2+2x^2+2x+4x+2 | | 80=10(31+2) | | 9r^2-19r+2= | | -111=8n-7 | | (-2x)-5=17 | | 2x-10=1x | | -96=-4(3+3v) | | 8(3+-3u)+u= | | 3w=300 | | 8x+10=4x-10 | | -(-2z^2+z-9)= | | 2(y+3)+y=12 | | 10.7x+12=-2 | | 9p-5s-8p-6s= | | 7-m=-5+5m-6-3m | | 3(x+5)(x-5)-12=5(3x+3)-60 | | -2(3-2c)+4c=10 | | 3x^3+15x^2+12x-60=0 | | a-1=2 | | c=450x+1200 | | 2x+3y=6+2x | | -4(-2x+2)+3x+5=-113 | | 56=3x+3x+2 | | 15+6a=8(4a+5) | | -6n-12(-11n+8)=-10(n-4) | | 10z+8=5z-3 | | 2-3a=-5-4a | | -5(-4x-5)-x-5=-94 |

Equations solver categories