ln(x-1)+ln(x-2)=ln(14-2x)

Simple and best practice solution for ln(x-1)+ln(x-2)=ln(14-2x) 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-1)+ln(x-2)=ln(14-2x) equation:


Simplifying
ln(x + -1) + ln(x + -2) = ln(14 + -2x)

Reorder the terms:
ln(-1 + x) + ln(x + -2) = ln(14 + -2x)
(-1 * ln + x * ln) + ln(x + -2) = ln(14 + -2x)
(-1ln + lnx) + ln(x + -2) = ln(14 + -2x)

Reorder the terms:
-1ln + lnx + ln(-2 + x) = ln(14 + -2x)
-1ln + lnx + (-2 * ln + x * ln) = ln(14 + -2x)
-1ln + lnx + (-2ln + lnx) = ln(14 + -2x)

Reorder the terms:
-1ln + -2ln + lnx + lnx = ln(14 + -2x)

Combine like terms: -1ln + -2ln = -3ln
-3ln + lnx + lnx = ln(14 + -2x)

Combine like terms: lnx + lnx = 2lnx
-3ln + 2lnx = ln(14 + -2x)
-3ln + 2lnx = (14 * ln + -2x * ln)
-3ln + 2lnx = (14ln + -2lnx)

Solving
-3ln + 2lnx = 14ln + -2lnx

Solving for variable 'l'.

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

Add '-14ln' to each side of the equation.
-3ln + -14ln + 2lnx = 14ln + -14ln + -2lnx

Combine like terms: -3ln + -14ln = -17ln
-17ln + 2lnx = 14ln + -14ln + -2lnx

Combine like terms: 14ln + -14ln = 0
-17ln + 2lnx = 0 + -2lnx
-17ln + 2lnx = -2lnx

Add '2lnx' to each side of the equation.
-17ln + 2lnx + 2lnx = -2lnx + 2lnx

Combine like terms: 2lnx + 2lnx = 4lnx
-17ln + 4lnx = -2lnx + 2lnx

Combine like terms: -2lnx + 2lnx = 0
-17ln + 4lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-17 + 4x) = 0

Subproblem 1

Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-17 + 4x)' equal to zero and attempt to solve: Simplifying -17 + 4x = 0 Solving -17 + 4x = 0 Move all terms containing l to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 4x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 4x = 0 + 17 4x = 0 + 17 Combine like terms: 0 + 17 = 17 4x = 17 Add '-4x' to each side of the equation. 4x + -4x = 17 + -4x Combine like terms: 4x + -4x = 0 0 = 17 + -4x Simplifying 0 = 17 + -4x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| 2x-7y-8x+2y= | | y=1/2(-4)-7 | | 2x-x+x+x+1+x+1=60 | | 32z^7-36z^3/4z^3 | | y=1/2(-4 | | 5x-4/5 | | x=-150 | | (7/8)/(9/10) | | 8x+4x-2+3=9x-3+5x | | 128=-16t^2+32t+128 | | 7x-19=-3(8x+5) | | 6r+3r= | | 3x-8x+4x-6=9 | | 0.8(g+15)=24 | | 3y+2x=174 | | 144=-16t^2+32t+128 | | 230=4(7n+34)+5(n+1) | | 9[8-3(9-8)]= | | y=-6(-2)+3 | | 0=x^2+14x+45 | | 15x^2+3x-3=0 | | 7x+8+10=323 | | 4(5x+2)=18 | | y=6(-5)+3 | | 5a+3b-3(9a-3b)= | | 2(3x-4)=-x-2 | | 10x^2+10x-140=0 | | -9x-4=-4 | | 47.36+13.65x=161 | | 160=-16t^2+32t+128 | | 6ab-8a-3b^2+4b=0 | | tanx+6cotx=5 |

Equations solver categories