ln(x+1)=ln(5x-7)-ln(x-1)

Simple and best practice solution for ln(x+1)=ln(5x-7)-ln(x-1) 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(5x-7)-ln(x-1) equation:


Simplifying
ln(x + 1) = ln(5x + -7) + -1ln(x + -1)

Reorder the terms:
ln(1 + x) = ln(5x + -7) + -1ln(x + -1)
(1 * ln + x * ln) = ln(5x + -7) + -1ln(x + -1)
(1ln + lnx) = ln(5x + -7) + -1ln(x + -1)

Reorder the terms:
1ln + lnx = ln(-7 + 5x) + -1ln(x + -1)
1ln + lnx = (-7 * ln + 5x * ln) + -1ln(x + -1)
1ln + lnx = (-7ln + 5lnx) + -1ln(x + -1)

Reorder the terms:
1ln + lnx = -7ln + 5lnx + -1ln(-1 + x)
1ln + lnx = -7ln + 5lnx + (-1 * -1ln + x * -1ln)
1ln + lnx = -7ln + 5lnx + (1ln + -1lnx)

Reorder the terms:
1ln + lnx = -7ln + 1ln + 5lnx + -1lnx

Combine like terms: -7ln + 1ln = -6ln
1ln + lnx = -6ln + 5lnx + -1lnx

Combine like terms: 5lnx + -1lnx = 4lnx
1ln + lnx = -6ln + 4lnx

Solving
1ln + lnx = -6ln + 4lnx

Solving for variable 'l'.

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

Add '6ln' to each side of the equation.
1ln + 6ln + lnx = -6ln + 6ln + 4lnx

Combine like terms: 1ln + 6ln = 7ln
7ln + lnx = -6ln + 6ln + 4lnx

Combine like terms: -6ln + 6ln = 0
7ln + lnx = 0 + 4lnx
7ln + lnx = 4lnx

Add '-4lnx' to each side of the equation.
7ln + lnx + -4lnx = 4lnx + -4lnx

Combine like terms: lnx + -4lnx = -3lnx
7ln + -3lnx = 4lnx + -4lnx

Combine like terms: 4lnx + -4lnx = 0
7ln + -3lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(7 + -3x) = 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 '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 0 Move all terms containing l to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Add '3x' to each side of the equation. -3x + 3x = -7 + 3x Combine like terms: -3x + 3x = 0 0 = -7 + 3x Simplifying 0 = -7 + 3x 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+(3x-25)=90 | | 1/128=x/20 | | y=2.3x^3+4x^2-20x+900 | | 2x+5x+(4x-7)=180 | | F(5)=18x-14 | | 49-2x=9-10x | | sen(6x-45)=sen(2x+45) | | (-y)-2=3y+5 | | 10x+20=-30x+10 | | 1/3v=1- | | 6(k-7)-2=-2k+4+8k+36 | | N^2-7*n-8=0 | | 3x+23=4x+12 | | 5x+5x+5y=31 | | -x-7=x+3 | | 4x-15=5x+3 | | 180*(n-2)/2=360 | | -7x+2y=-6 | | 6+2w=3w | | 3/5(2x-9)=3 | | cos(x)+cos(3x)+cos(5x)+cos(7x)=0 | | 6(n-2)+4n=8n | | 5*k=2 | | 8x^2-16+64=64 | | 96+-88x+12x^2=0 | | 5.2x-46-7.1x=-2.1-1.9x-2.5 | | 12x-32=0 | | y=12x^2-88x+96 | | 15*3/n=45/12 | | y=96-88x+12x^2 | | 3x+2=-9 | | .5x-2=.1(x+20) |

Equations solver categories