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

Simple and best practice solution for Ln(x-6)+ln(x+1)=ln(x-5) 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+1)=ln(x-5) equation: 


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

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

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

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

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

Add '-1lnx' to each side of the equation.
1ln + lnx + -6nL + -1lnx + nxL = -5ln + lnx + -1lnx

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

Combine like terms: lnx + -1lnx = 0
1ln + 0 + -6nL + nxL = -5ln + lnx + -1lnx
1ln + -6nL + nxL = -5ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
1ln + -6nL + nxL = -5ln + 0
1ln + -6nL + nxL = -5ln

Solving
1ln + -6nL + nxL = -5ln

Solving for variable 'l'.

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

Add '5ln' to each side of the equation.
1ln + -6nL + 5ln + nxL = -5ln + 5ln

Reorder the terms:
1ln + 5ln + -6nL + nxL = -5ln + 5ln

Combine like terms: 1ln + 5ln = 6ln
6ln + -6nL + nxL = -5ln + 5ln

Combine like terms: -5ln + 5ln = 0
6ln + -6nL + nxL = 0

Add '6nL' to each side of the equation.
6ln + -6nL + 6nL + nxL = 0 + 6nL

Combine like terms: -6nL + 6nL = 0
6ln + 0 + nxL = 0 + 6nL
6ln + nxL = 0 + 6nL
Remove the zero:
6ln + nxL = 6nL

Add '-1nxL' to each side of the equation.
6ln + nxL + -1nxL = 6nL + -1nxL

Combine like terms: nxL + -1nxL = 0
6ln + 0 = 6nL + -1nxL
6ln = 6nL + -1nxL

Divide each side by '6n'.
l = L + -0.1666666667xL

Simplifying
l = L + -0.1666666667xL

See similar equations:

| 8(v-5)+8v=24 | | f^1(x)=sin(9x) | | 4(-2g+5)= | | -5x-186=7x+78 | | 2x+79=7x+14 | | 50*80/100 | | 2(w+7)+5w=-21 | | 4w-53+5w=73+11w | | (m^2+9)(m-3)= | | 4/8-2/16 | | x+-8=-52 | | 9x-17=7x+19 | | 3(t+16)+t=109 | | 22=-1(y+7) | | (X-10)^2/5=(9x)1/5 | | 4+8+9(3a+5)+8(2+1)= | | 7(3x-5)=5(4x-5) | | 20x+20x=140 | | 600(-2)+200=500(-2) | | 3(7x-5)=4(3x-11) | | 2(e-30)+2e=135 | | 2x+3x+4x+3=8+8+11+3 | | (4x^2-56x-60)/(2x^3-28x^2-30x) | | 8x-20+116-x=180 | | 7b+3+5b=3b+8 | | 9m^2=4m | | 2(t+16)+t=109 | | 8x-14=4x+10 | | 7.2=120*i | | 10r+100+50= | | 420=120*i | | p=120*0.63 |

Equations solver categories