ln(x+11)=ln(x+6)+ln(x+3)

Simple and best practice solution for ln(x+11)=ln(x+6)+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+11)=ln(x+6)+ln(x+3) equation:


Simplifying
ln(x + 11) = ln(x + 6) + ln(x + 3)

Reorder the terms:
ln(11 + x) = ln(x + 6) + ln(x + 3)
(11 * ln + x * ln) = ln(x + 6) + ln(x + 3)
(11ln + lnx) = ln(x + 6) + ln(x + 3)

Reorder the terms:
11ln + lnx = ln(6 + x) + ln(x + 3)
11ln + lnx = (6 * ln + x * ln) + ln(x + 3)
11ln + lnx = (6ln + lnx) + ln(x + 3)

Reorder the terms:
11ln + lnx = 6ln + lnx + ln(3 + x)
11ln + lnx = 6ln + lnx + (3 * ln + x * ln)
11ln + lnx = 6ln + lnx + (3ln + lnx)

Reorder the terms:
11ln + lnx = 6ln + 3ln + lnx + lnx

Combine like terms: 6ln + 3ln = 9ln
11ln + lnx = 9ln + lnx + lnx

Combine like terms: lnx + lnx = 2lnx
11ln + lnx = 9ln + 2lnx

Solving
11ln + lnx = 9ln + 2lnx

Solving for variable 'l'.

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

Add '-9ln' to each side of the equation.
11ln + -9ln + lnx = 9ln + -9ln + 2lnx

Combine like terms: 11ln + -9ln = 2ln
2ln + lnx = 9ln + -9ln + 2lnx

Combine like terms: 9ln + -9ln = 0
2ln + lnx = 0 + 2lnx
2ln + lnx = 2lnx

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

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

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(2 + -1x) = 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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Add 'x' to each side of the equation. -1x + x = -2 + x Combine like terms: -1x + x = 0 0 = -2 + x Simplifying 0 = -2 + x 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:

| 2x-y=18 | | -54x=78 | | 7x+2+x=1+5x+16 | | 8+n=11 | | -20.7=27.2+m | | -16t^2+160t-256=0 | | -16t^2+128t-256=0 | | 6x^2+6x-72=03 | | 12=a(a+1) | | 5x+45=2x+8 | | 5(x+3)+4(x-2)=-4 | | 11.37-3.459= | | x^2-6=y | | 6x+2=-3x+8 | | ln(x+12)+ln(x-5)=2lnx | | 4+2(z-2)=-4z+5 | | 3x-2z-8=0 | | x^2+19x= | | x+16x+64=0 | | -3a+4+4a=9-28 | | 4g-81=0 | | 6x+3x=0 | | y+6y=0 | | -(x+20)=7(x-3) | | k+11k=-18 | | -8x^2+14x+15=0 | | 2x+20=x+40 | | 5x+10=x+50 | | (2s^2)-5s=3 | | (3w^2)+w-200=0 | | 8b-6(b-2)=4 | | (x^4)+(4x^2)-21=0 |

Equations solver categories