2ln(x)-ln(2)=ln(3x-4)

Simple and best practice solution for 2ln(x)-ln(2)=ln(3x-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 2ln(x)-ln(2)=ln(3x-4) equation: 


Simplifying
2ln(x) + -1ln(2) = ln(3x + -4)

Multiply ln * x
2lnx + -1ln(2) = ln(3x + -4)

Reorder the terms for easier multiplication:
2lnx + -1 * 2ln = ln(3x + -4)

Multiply -1 * 2
2lnx + -2ln = ln(3x + -4)

Reorder the terms:
-2ln + 2lnx = ln(3x + -4)

Reorder the terms:
-2ln + 2lnx = ln(-4 + 3x)
-2ln + 2lnx = (-4 * ln + 3x * ln)
-2ln + 2lnx = (-4ln + 3lnx)

Solving
-2ln + 2lnx = -4ln + 3lnx

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.
-2ln + 4ln + 2lnx = -4ln + 4ln + 3lnx

Combine like terms: -2ln + 4ln = 2ln
2ln + 2lnx = -4ln + 4ln + 3lnx

Combine like terms: -4ln + 4ln = 0
2ln + 2lnx = 0 + 3lnx
2ln + 2lnx = 3lnx

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

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

Combine like terms: 3lnx + -3lnx = 0
2ln + -1lnx = 0

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

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

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

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

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

Simplifying
0 = -2 + x

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:

| 12x*13=132 | | 12x*13=13 | | (2x+7)(9+x)=0 | | -7x-89=79+x | | -2(1b+1)+4=10 | | 3-2(1n-4)=-1 | | x-.2=0 | | (5-4)x=21 | | =14p-14q | | x-1*5=0 | | 2*x*x=50 | | 5(-x-1)=20 | | 6x+5x=45 | | 4a+7-6a+6=7a+4 | | 6r-7=13-4r | | 7r+11=1+5r | | 7=-1(-k-3)+2 | | 5b+1=8+4b | | 8+1+3p+4=p-3 | | 6+3n=5n-3n | | 7x+3y=1280 | | 6v+4=7v-3 | | y=16x^2+1 | | 33+5a=3-8(-3a-1) | | (4x-3)(x+11)= | | 6a+3b=6 | | X=-10+3-y | | 6f+13=25 | | 3(x+y)=2(x-5) | | 12(x-1)=11 | | 22ab+b-7a=5 | | 7x^2+21x=28 |

Equations solver categories