2ln(x-2)=ln(8x)

Simple and best practice solution for 2ln(x-2)=ln(8x) 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 2ln(x-2)=ln(8x) equation:


Simplifying
2ln(x + -2) = ln(8x)

Reorder the terms:
2ln(-2 + x) = ln(8x)
(-2 * 2ln + x * 2ln) = ln(8x)
(-4ln + 2lnx) = ln(8x)

Remove parenthesis around (8x)
-4ln + 2lnx = ln * 8x

Reorder the terms for easier multiplication:
-4ln + 2lnx = 8ln * x

Multiply ln * x
-4ln + 2lnx = 8lnx

Solving
-4ln + 2lnx = 8lnx

Solving for variable 'l'.

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

Add '-8lnx' to each side of the equation.
-4ln + 2lnx + -8lnx = 8lnx + -8lnx

Combine like terms: 2lnx + -8lnx = -6lnx
-4ln + -6lnx = 8lnx + -8lnx

Combine like terms: 8lnx + -8lnx = 0
-4ln + -6lnx = 0

Factor out the Greatest Common Factor (GCF), '-2ln'.
-2ln(2 + 3x) = 0

Ignore the factor -2.

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 '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Add '-3x' to each side of the equation. 3x + -3x = -2 + -3x Combine like terms: 3x + -3x = 0 0 = -2 + -3x Simplifying 0 = -2 + -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+10=5(x+2)-3x | | 0=(4.8y^2)+y-6 | | 0=(4.8x^2)+y-6 | | 2.05x+1.05X= | | 5(x-2)+3=2x-4 | | 2(3-2)+4=n | | (3f-2)(2f-4)= | | (4-u)(5u-7)=0 | | 10r+4=84 | | 2(3+2)-6=m | | 21=1-4y | | -5(v+6)=-35 | | -11/7n=9 | | -1/25n=20 | | Q/800*Q | | -7a+5+8a=11-24 | | 10x^6-15x^5-25x^4=0 | | P/-6=-72 | | -1,333.33333x+22,000=1000 | | 9x-5=2x+8 | | n=-2(4-1) | | -2(4-1)=3 | | -2(4-1)=n | | 2(1)-y=3 | | -3(4+3)=n | | -3(m+n)=3 | | x*(4x-1)=60 | | 3(1)-y=0 | | 2x^2+2+14x=0 | | 5(2)-y=7 | | 20x^-4/27y^2/8x^-3/15y^-5 | | 5(1)-y=7 |

Equations solver categories