ln(x)-ln(x-8)=2

Simple and best practice solution for ln(x)-ln(x-8)=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)-ln(x-8)=2 equation:


Simplifying
ln(x) + -1ln(x + -8) = 2

Multiply ln * x
lnx + -1ln(x + -8) = 2

Reorder the terms:
lnx + -1ln(-8 + x) = 2
lnx + (-8 * -1ln + x * -1ln) = 2
lnx + (8ln + -1lnx) = 2

Reorder the terms:
8ln + lnx + -1lnx = 2

Combine like terms: lnx + -1lnx = 0
8ln + 0 = 2
8ln = 2

Solving
8ln = 2

Solving for variable 'l'.

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

Divide each side by '8n'.
l = 0.25n-1

Simplifying
l = 0.25n-1

See similar equations:

| 68.75-355= | | sinx+cosx=x | | 2(x+1)+19= | | x+(-2x-4)=-5 | | 2(x+1)+16= | | x(x+60)=1600 | | 68.75+(68.75-355)+((68.75*2)+80)= | | x/-8=-4-(-9) | | 20x+140=21x+147 | | x+(x-355)+((x*2)+80)= | | 2x=3+3x | | 8x-9=-3x+12 | | x+x^2+6=156 | | x+(2)=3 | | 54=3x*2x | | 8x-9=3x+12 | | 1.50x=10+.50x | | 4-4=15x+5x | | 21-6h=27-8h | | 33=2t-13 | | 0=x^4-8x^3+24x^2-32x+16 | | 10-5x+5x=3x+5x | | 17x+840=22+760 | | 2x^2+10x+21= | | 5x=13-(-17) | | 1.50x=10+.50 | | 64=x(2x) | | n^2=18+40 | | 2cos^4x=cos^2x | | 3(7+5)-1+2(7)= | | 6/8-4i | | 3x^2+6=-17 |

Equations solver categories