lnx-ln(x-1)=3

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


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

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

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

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

Solving
1ln = 3

Solving for variable 'l'.

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

Divide each side by '1n'.
l = 3n-1

Simplifying
l = 3n-1

See similar equations:

| 3/11x4/6 | | ln(3x+15)=4 | | (4x+7)(3x+6)= | | 5y-2=2y+10 | | (x-1)-3(2-3x)=(4+5x)-(5x-3) | | 2(4x+7)=4x-25 | | ln(y+5)+ln(y-1)=3 | | 4c-5=11 | | 25a-5b=-6 | | 25a-5b=6 | | (19-2x)(11-2x)(x)= | | H-5=65 | | 8x-3=-2x-27 | | lne=lne-3y | | 2v+6=-4 | | 2(5x+3)=13 | | 4(m+6)+5= | | 140n=(n-2)*180 | | ln(3-x^2)=2lnx | | (x+5)(x+5+3)=(x+5)(x+5+3)+240 | | x(x+5)=240-y | | 3(n+4)+8(n+5)= | | A=8a+17 | | 32x-8/(3x)=10 | | -0.5x+x=15 | | 2x^2+8x-42x=0 | | x+2/x+4= | | 2x-18=75 | | 4(x+14)=16 | | 2x^2+4=2(2-5x) | | x+x+x=30 | | 6x+7=-21-8 |

Equations solver categories