ln(x+1)-ln(x-5)=4

Simple and best practice solution for ln(x+1)-ln(x-5)=4 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-5)=4 equation:


Simplifying
ln(x + 1) + -1ln(x + -5) = 4

Reorder the terms:
ln(1 + x) + -1ln(x + -5) = 4
(1 * ln + x * ln) + -1ln(x + -5) = 4
(1ln + lnx) + -1ln(x + -5) = 4

Reorder the terms:
1ln + lnx + -1ln(-5 + x) = 4
1ln + lnx + (-5 * -1ln + x * -1ln) = 4
1ln + lnx + (5ln + -1lnx) = 4

Reorder the terms:
1ln + 5ln + lnx + -1lnx = 4

Combine like terms: 1ln + 5ln = 6ln
6ln + lnx + -1lnx = 4

Combine like terms: lnx + -1lnx = 0
6ln + 0 = 4
6ln = 4

Solving
6ln = 4

Solving for variable 'l'.

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

Divide each side by '6n'.
l = 0.6666666667n-1

Simplifying
l = 0.6666666667n-1

See similar equations:

| 12x(2-x)-22x+1= | | -6(2t)= | | (32k^5)^2/5 | | 6(m-6)-m=5(m-7)-1 | | x^2+85=189-x | | 2y^2+2y-40=0 | | 2x/5-6=8 | | t+17=-11 | | X^3-2x= | | 9x-3y=(-15) | | 7p(p-2)+2(p+4)=0 | | 9/2x*1/3x | | 3/5x+3 | | 3/5x+3 | | 0=x^2+2x-83 | | 72+6x=3 | | 320+80x=720-220x | | (X-3)(x+1)= | | 48g^2+1=-18g | | 10x+5/5 | | -90=-9t | | 10x^2-40x-600=0 | | 0=x^2+6x-160 | | 4/16=m/11 | | 160=x^2+6 | | 260-6x=39x+20 | | 253-7x=38x+23 | | 4/82/31/5 | | 4x+2/3=7/6 | | x+30=14 | | x-8.2=-4.4 | | x^2+10x-416=0 |

Equations solver categories