ln(x+6)-ln(x-5)=6

Simple and best practice solution for ln(x+6)-ln(x-5)=6 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+6)-ln(x-5)=6 equation: 


Simplifying
ln(x + 6) + -1ln(x + -5) = 6

Reorder the terms:
ln(6 + x) + -1ln(x + -5) = 6
(6 * ln + x * ln) + -1ln(x + -5) = 6
(6ln + lnx) + -1ln(x + -5) = 6

Reorder the terms:
6ln + lnx + -1ln(-5 + x) = 6
6ln + lnx + (-5 * -1ln + x * -1ln) = 6
6ln + lnx + (5ln + -1lnx) = 6

Reorder the terms:
6ln + 5ln + lnx + -1lnx = 6

Combine like terms: 6ln + 5ln = 11ln
11ln + lnx + -1lnx = 6

Combine like terms: lnx + -1lnx = 0
11ln + 0 = 6
11ln = 6

Solving
11ln = 6

Solving for variable 'l'.

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

Divide each side by '11n'.
l = 0.5454545455n-1

Simplifying
l = 0.5454545455n-1

See similar equations:

| -5(w-8)+9w+3= | | 0.5n=4.5 | | 9u^2+30=0 | | 2.2+x=6.2 | | (x-9)(x+7)=o | | y=-4x^2+12 | | 0.75+r=1.25 | | sec^2x-tanx-4=0 | | w-8/15=11/15 | | -24-(-18)=x/8 | | x-5.6=4.4 | | 24x+2=6 | | 7x-2(x-3)=5(x+1)+7 | | an=-2n+7 | | 7(2e-1)-(3)=6+6e | | 6y-5=5y-2 | | -7x-3(7x+16)=-188 | | -17=-7-2x | | 259=170-y | | 35-19=2(x-9) | | 2x-16=26-x | | 16f=49 | | Pq-x=-4 | | 5w+17=72 | | 4x^2-44x-70=0 | | 90-v=193 | | 8/5x=7/2 | | 3lne^2x=27 | | 273=105-v | | 8(x-2)+2x=10(x+3)-46 | | 5+3v=-4 | | -11=-3+2v |

Equations solver categories