lnx-ln(x-6)=3

Simple and best practice solution for lnx-ln(x-6)=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-6)=3 equation:


Simplifying
lnx + -1ln(x + -6) = 3

Reorder the terms:
lnx + -1ln(-6 + x) = 3
lnx + (-6 * -1ln + x * -1ln) = 3
lnx + (6ln + -1lnx) = 3

Reorder the terms:
6ln + lnx + -1lnx = 3

Combine like terms: lnx + -1lnx = 0
6ln + 0 = 3
6ln = 3

Solving
6ln = 3

Solving for variable 'l'.

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

Divide each side by '6n'.
l = 0.5n-1

Simplifying
l = 0.5n-1

See similar equations:

| lnx-ln(x+6)=3 | | x^4-7x^3+8x^2+7x+1=0 | | x^(7/5)/9=169/x^(3/5) | | 6x^2+2xy+4y=216 | | x*3+52=7*x+8 | | 250=3a+4b | | 250=3n+4n | | 32x-23=343 | | Y=ln(4x+5) | | 9x-2y+15w-7y-5w+3x= | | 7w+5y+6x+6x-14y+3w= | | *15/16*(-14/9) | | a^2+1=3a | | 6m-8=m-18 | | 6m-8=m+18 | | 8c+12=c+32 | | 15c+8=c+13 | | 5X-5.5=6.3 | | 5-3x=-6x-12 | | 2x^3-15x^2+36x+1=0 | | 3x-1=5y-9 | | abs(z)+z^2=0 | | x^2dy-y^2dx=0e | | lgx+[5(x+1)]=2 | | 5y-3x=72+5x | | 31+3a=4(7a+5) | | 34*380= | | 1/6(5x-4) | | 2(a+0.3)=1.2(a-4) | | 2x*4y+7(1x-2y)= | | 2x*4+7(1x-2y)= | | (4+x)*x=3 |

Equations solver categories