ln(-2x+5)-ln(x+4)=ln(-11x-2)

Simple and best practice solution for ln(-2x+5)-ln(x+4)=ln(-11x-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(-2x+5)-ln(x+4)=ln(-11x-2) equation:


Simplifying
ln(-2x + 5) + -1ln(x + 4) = ln(-11x + -2)

Reorder the terms:
ln(5 + -2x) + -1ln(x + 4) = ln(-11x + -2)
(5 * ln + -2x * ln) + -1ln(x + 4) = ln(-11x + -2)
(5ln + -2lnx) + -1ln(x + 4) = ln(-11x + -2)

Reorder the terms:
5ln + -2lnx + -1ln(4 + x) = ln(-11x + -2)
5ln + -2lnx + (4 * -1ln + x * -1ln) = ln(-11x + -2)
5ln + -2lnx + (-4ln + -1lnx) = ln(-11x + -2)

Reorder the terms:
5ln + -4ln + -2lnx + -1lnx = ln(-11x + -2)

Combine like terms: 5ln + -4ln = 1ln
1ln + -2lnx + -1lnx = ln(-11x + -2)

Combine like terms: -2lnx + -1lnx = -3lnx
1ln + -3lnx = ln(-11x + -2)

Reorder the terms:
1ln + -3lnx = ln(-2 + -11x)
1ln + -3lnx = (-2 * ln + -11x * ln)
1ln + -3lnx = (-2ln + -11lnx)

Solving
1ln + -3lnx = -2ln + -11lnx

Solving for variable 'l'.

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

Add '2ln' to each side of the equation.
1ln + 2ln + -3lnx = -2ln + 2ln + -11lnx

Combine like terms: 1ln + 2ln = 3ln
3ln + -3lnx = -2ln + 2ln + -11lnx

Combine like terms: -2ln + 2ln = 0
3ln + -3lnx = 0 + -11lnx
3ln + -3lnx = -11lnx

Add '11lnx' to each side of the equation.
3ln + -3lnx + 11lnx = -11lnx + 11lnx

Combine like terms: -3lnx + 11lnx = 8lnx
3ln + 8lnx = -11lnx + 11lnx

Combine like terms: -11lnx + 11lnx = 0
3ln + 8lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(3 + 8x) = 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 '(3 + 8x)' equal to zero and attempt to solve: Simplifying 3 + 8x = 0 Solving 3 + 8x = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 0 + -3 8x = 0 + -3 Combine like terms: 0 + -3 = -3 8x = -3 Add '-8x' to each side of the equation. 8x + -8x = -3 + -8x Combine like terms: 8x + -8x = 0 0 = -3 + -8x Simplifying 0 = -3 + -8x 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:

| 7/3x-6_x-12 | | -5x-8x-177=96 | | 7/3x-61/3-12 | | 7cos^3(x)+7cos(x)=0 | | (42/-6)(g*10/g*3) | | log(7)(18x)=2+log(7)126 | | -60+9x-4x=25 | | 30x+90y=2500 | | 4x+3x-74=115 | | 15-4n=-21 | | 5n+16=34 | | 5n+16=-37 | | -10x-21=-171 | | p=0.5n+9 | | x+4-2=20 | | 0.2y+11=-0.5y+7 | | (x^2-14x+49)=0 | | 3tan^2x-4tanx-5=0 | | 13x+8y=0 | | 8x+.8=7x | | -(2/3)r=-6 | | Z+1.75=1.8 | | 2y+(y-3)=4y-5 | | X^2+2k+10=x-3kx | | -2/3(r)=-6 | | (2/9)t=6 | | (-2/3)x=-4 | | 3(5+4*3)= | | cos(5x)+cos(x)= | | X^2-6x+y^2+18y=19 | | y=x*(lnx) | | 2(3)+3(2)-3= |

Equations solver categories