ln(x^2-1)-2ln(x-1)=ln(2)

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


Simplifying
ln(x2 + -1) + -2ln(x + -1) = ln(2)

Reorder the terms:
ln(-1 + x2) + -2ln(x + -1) = ln(2)
(-1 * ln + x2 * ln) + -2ln(x + -1) = ln(2)
(-1ln + lnx2) + -2ln(x + -1) = ln(2)

Reorder the terms:
-1ln + lnx2 + -2ln(-1 + x) = ln(2)
-1ln + lnx2 + (-1 * -2ln + x * -2ln) = ln(2)
-1ln + lnx2 + (2ln + -2lnx) = ln(2)

Reorder the terms:
-1ln + 2ln + -2lnx + lnx2 = ln(2)

Combine like terms: -1ln + 2ln = 1ln
1ln + -2lnx + lnx2 = ln(2)

Reorder the terms for easier multiplication:
1ln + -2lnx + lnx2 = 2ln

Solving
1ln + -2lnx + lnx2 = 2ln

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 + -2lnx + -2ln + lnx2 = 2ln + -2ln

Reorder the terms:
1ln + -2ln + -2lnx + lnx2 = 2ln + -2ln

Combine like terms: 1ln + -2ln = -1ln
-1ln + -2lnx + lnx2 = 2ln + -2ln

Combine like terms: 2ln + -2ln = 0
-1ln + -2lnx + lnx2 = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-1 + -2x + x2) = 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 '(-1 + -2x + x2)' equal to zero and attempt to solve:

Simplifying
-1 + -2x + x2 = 0

Solving
-1 + -2x + x2 = 0

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

Add '1' to each side of the equation.
-1 + -2x + 1 + x2 = 0 + 1

Reorder the terms:
-1 + 1 + -2x + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x + x2 = 0 + 1
-2x + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
-2x + x2 = 1

Add '2x' to each side of the equation.
-2x + 2x + x2 = 1 + 2x

Combine like terms: -2x + 2x = 0
0 + x2 = 1 + 2x
x2 = 1 + 2x

Add '-1x2' to each side of the equation.
x2 + -1x2 = 1 + 2x + -1x2

Combine like terms: x2 + -1x2 = 0
0 = 1 + 2x + -1x2

Simplifying
0 = 1 + 2x + -1x2

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:

| (40x^2-20x^2)/2x^5 | | b^2=-13b-40 | | 9x-2(x-7)=7(x+1)+5 | | 9m=-38+38 | | -18=2n | | 12=w+(-4) | | 3-1/2x=1/4 | | 1/2x=7/3 | | 8x+12(x-3)=100 | | 4+2s=3(s-6)+1 | | 2x-1/x-5 | | 5y-6=3y+8 | | 3x+14=-14-5x | | 0.06(8x-1)=0.48(x+7)-3.42 | | 2h=29 | | 60=9q-3+7p | | .50(x+.33)-.2=5 | | 0.3q-0.06+0.2q=q+0.3 | | 6x-6=-5x | | -2d-1.7=-3.7 | | 10-2x=-4x+18 | | .1(x-.7)=3 | | 4(5+x)=5(4x-1) | | Y-155=-2(x-5) | | x^2+24r+44=0 | | -3x-6=7x-4 | | t-3b=8 | | x=5cosx | | -3x^2+21=-6 | | 3x-6=7x-4 | | -4x^2-7x-47=-47 | | 5x+3y=y+2x |

Equations solver categories