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

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


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

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

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

Reorder the terms:
2ln + 3ln + lnx + -1lnx = 2

Combine like terms: 2ln + 3ln = 5ln
5ln + lnx + -1lnx = 2

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

Solving
5ln = 2

Solving for variable 'l'.

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

Divide each side by '5n'.
l = 0.4n-1

Simplifying
l = 0.4n-1

See similar equations:

| 56+d=71 | | 8x^3+9x^2+14x+6=0 | | 7K^2+9K+2=0 | | (8+u)(4u-6)=0 | | 12-3n=30 | | x+7/6=-48 | | -5.3x=2.8 | | 6k+2=2 | | -6(-1+y)+3y=-12 | | x+13=45 | | 1x+5=3x | | 7x+8=10x-4 | | (2x^2-5)(2x^2+5)= | | x+7/6=-72 | | 6775-a=34.81 | | 2x+4-4x=-16 | | 2(n-8)=-20 | | 3t+8(3t-6)=2+14t | | 180=8x+2+70+60 | | .75(3x+6)-.25(5x-24)= | | (5y+3x)(5y-3x)= | | 90+8x-1+4x+7=180 | | 2352324523xyz+324890234=123819208490xyz-21389 | | 17+2x=3.1-5x | | 10=.5x | | 7y=3x-11 | | 8t^5+2t^4=-10t^3 | | (5x+2)(5x-2)= | | 9.36=z+3.78 | | 1=2(x-5)+5-x | | (n)(156)=(n-2)(180) | | X^2=-7x-3 |

Equations solver categories