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

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


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

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

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

Solving
3ln + lnx = 3 + -1ln + -1lnx

Solving for variable 'l'.

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

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

Combine like terms: 3ln + ln = 4ln
4ln + lnx = 3 + -1ln + ln + -1lnx

Combine like terms: -1ln + ln = 0
4ln + lnx = 3 + 0 + -1lnx
4ln + lnx = 3 + -1lnx

Add 'lnx' to each side of the equation.
4ln + lnx + lnx = 3 + -1lnx + lnx

Combine like terms: lnx + lnx = 2lnx
4ln + 2lnx = 3 + -1lnx + lnx

Combine like terms: -1lnx + lnx = 0
4ln + 2lnx = 3 + 0
4ln + 2lnx = 3

Reorder the terms:
-3 + 4ln + 2lnx = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 4ln + 2lnx = 0

The solution to this equation could not be determined.

See similar equations:

| ln(x+12)-lnx=2 | | 3y+12x=-4 | | -10+2n=0 | | 9x-28+90=15x+14 | | 23-n=18 | | 6x+3(-2x+5)=27 | | .6(X)+.7(Y)=120 | | (3x-7)(9x+8)=0 | | -3m+-2=-20 | | h=-16t^2-10t+100 | | x/3-6/x=-7/3 | | 2x+8=-5x+11 | | 3sin^2(x)+3cos(x)=3 | | 6(d-3)=3(14-d) | | in(x+12)-inx=2 | | -10x+2(5x+25)=-14 | | -3(x+4)+15=18 | | 24x-27=25x+35 | | -11.246=-27.083-16.819 | | h^2-7h+10= | | (y+9.5)=3(x+5.5) | | 6x*6x=12x-10/3 | | Y-(-4)=(-10) | | Y=18(x)+1 | | in(x+8)-inx=1 | | 3/4-11/21x-1/2-4/15x= | | (y-0)=6(x+2) | | 3x-7=115x | | (5+x).2=10 | | (y-5.5)=-8(x-3.5) | | 6x=4y-5 | | V=1584(24)(11) |

Equations solver categories