2lnx-ln(2x-9)=ln(5x)-ln(x-4)

Simple and best practice solution for 2lnx-ln(2x-9)=ln(5x)-ln(x-4) 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 2lnx-ln(2x-9)=ln(5x)-ln(x-4) equation:


Simplifying
2lnx + -1ln(2x + -9) = ln(5x) + -1ln(x + -4)

Reorder the terms:
2lnx + -1ln(-9 + 2x) = ln(5x) + -1ln(x + -4)
2lnx + (-9 * -1ln + 2x * -1ln) = ln(5x) + -1ln(x + -4)
2lnx + (9ln + -2lnx) = ln(5x) + -1ln(x + -4)

Reorder the terms:
9ln + 2lnx + -2lnx = ln(5x) + -1ln(x + -4)

Combine like terms: 2lnx + -2lnx = 0
9ln + 0 = ln(5x) + -1ln(x + -4)
9ln = ln(5x) + -1ln(x + -4)

Remove parenthesis around (5x)
9ln = ln * 5x + -1ln(x + -4)

Reorder the terms for easier multiplication:
9ln = 5ln * x + -1ln(x + -4)

Multiply ln * x
9ln = 5lnx + -1ln(x + -4)

Reorder the terms:
9ln = 5lnx + -1ln(-4 + x)
9ln = 5lnx + (-4 * -1ln + x * -1ln)
9ln = 5lnx + (4ln + -1lnx)

Reorder the terms:
9ln = 4ln + 5lnx + -1lnx

Combine like terms: 5lnx + -1lnx = 4lnx
9ln = 4ln + 4lnx

Solving
9ln = 4ln + 4lnx

Solving for variable 'l'.

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

Add '-4ln' to each side of the equation.
9ln + -4ln = 4ln + -4ln + 4lnx

Combine like terms: 9ln + -4ln = 5ln
5ln = 4ln + -4ln + 4lnx

Combine like terms: 4ln + -4ln = 0
5ln = 0 + 4lnx
5ln = 4lnx

Add '-4lnx' to each side of the equation.
5ln + -4lnx = 4lnx + -4lnx

Combine like terms: 4lnx + -4lnx = 0
5ln + -4lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(5 + -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 '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 0 Move all terms containing l to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Add '4x' to each side of the equation. -4x + 4x = -5 + 4x Combine like terms: -4x + 4x = 0 0 = -5 + 4x Simplifying 0 = -5 + 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:

| 27-12=3(x-2) | | 4-8u=2u+4 | | 33+4y-9=14y-11-3y | | 5x/2=-7 | | x+19+4x=-43-4x-46 | | 2y=50y | | Log(X)=-4 | | -8g-40=-18g | | 2x^2+7x-154=0 | | 8x-7=10x+10 | | 24x^2-16x-30= | | 54m-2=110 | | x^2+8x-152=0 | | x^2-630=0 | | 6x^3+5x+9=0 | | 1.5x+6y=22 | | 5z(z+7)(z+5)=0 | | 0.21x=1 | | 2x^2+7x-152=0 | | (x^2+9)(3x+8)= | | -5=-x/2 | | 35x-3=32 | | 2x=52y | | 9x+4=9(x-2) | | 100x+400=500 | | 19x+4=21x-2 | | y=(4x^2+5)(9x^3-7x) | | 2c^2+17c+35=0 | | 2x*3x*x=0 | | (16n+4)-(7n-3)=0 | | x^2-1120=0 | | -8(4z+6)=0 |

Equations solver categories