Ln(x-4)+ln(x-10)=2

Simple and best practice solution for Ln(x-4)+ln(x-10)=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-4)+ln(x-10)=2 equation: 


Simplifying
Ln(x + -4) + ln(x + -10) = 2

Reorder the terms:
nL(-4 + x) + ln(x + -10) = 2
(-4 * nL + x * nL) + ln(x + -10) = 2
(-4nL + nxL) + ln(x + -10) = 2

Reorder the terms:
-4nL + nxL + ln(-10 + x) = 2
-4nL + nxL + (-10 * ln + x * ln) = 2
-4nL + nxL + (-10ln + lnx) = 2

Reorder the terms:
-10ln + lnx + -4nL + nxL = 2

Solving
-10ln + lnx + -4nL + nxL = 2

Solving for variable 'l'.

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

Add '4nL' to each side of the equation.
-10ln + lnx + -4nL + 4nL + nxL = 2 + 4nL

Combine like terms: -4nL + 4nL = 0
-10ln + lnx + 0 + nxL = 2 + 4nL
-10ln + lnx + nxL = 2 + 4nL

Add '-1nxL' to each side of the equation.
-10ln + lnx + nxL + -1nxL = 2 + 4nL + -1nxL

Combine like terms: nxL + -1nxL = 0
-10ln + lnx + 0 = 2 + 4nL + -1nxL
-10ln + lnx = 2 + 4nL + -1nxL

Reorder the terms:
-2 + -10ln + lnx + -4nL + nxL = 2 + 4nL + -1nxL + -2 + -4nL + nxL

Reorder the terms:
-2 + -10ln + lnx + -4nL + nxL = 2 + -2 + 4nL + -4nL + -1nxL + nxL

Combine like terms: 2 + -2 = 0
-2 + -10ln + lnx + -4nL + nxL = 0 + 4nL + -4nL + -1nxL + nxL
-2 + -10ln + lnx + -4nL + nxL = 4nL + -4nL + -1nxL + nxL

Combine like terms: 4nL + -4nL = 0
-2 + -10ln + lnx + -4nL + nxL = 0 + -1nxL + nxL
-2 + -10ln + lnx + -4nL + nxL = -1nxL + nxL

Combine like terms: -1nxL + nxL = 0
-2 + -10ln + lnx + -4nL + nxL = 0

The solution to this equation could not be determined.

See similar equations:

| 5sinx=4cosx | | 16b^2+162b+180=0 | | (2x+6)5= | | 4a^3-16a^2=0 | | 8x-12+-32=2x+12 | | 13x-9=19-16+x | | 5y=4y-7 | | 2x+4-9x+x+8=48 | | -8x-2y=26 | | 8-2=-4g | | 4x+12y=32 | | ls=4(3x-5)+16 | | 8k^2+6k=0 | | -6(1-x)=6(x+3) | | .2r-6=22 | | 20-80=15x-5 | | n-15.50=47.50 | | -5(-4z)=40 | | 18=2(6n-3) | | 15n^3+3n^2+5n+1=0 | | 5000=x-.15x | | -3w-5w=8+11 | | -4(-m-2)-2m=8m-(-8-6m) | | 2a^3+8a=0 | | -11=-90 | | 7n+7(-7n+6)=-36-3n | | -2a+6=3a-39 | | 1/5n-6=18 | | 4x+v=w | | 12x+32=2x-7 | | 2x^2+12x-k=0 | | -7(2p+7)=15-6p |

Equations solver categories