2ln(x)=ln(3x)-[ln(9)-2ln(3)]

Simple and best practice solution for 2ln(x)=ln(3x)-[ln(9)-2ln(3)] 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(3x)-[ln(9)-2ln(3)] equation:


Simplifying
2ln(x) = ln(3x) + -1[ln(9) + -2ln(3)]

Multiply ln * x
2lnx = ln(3x) + -1[ln(9) + -2ln(3)]

Remove parenthesis around (3x)
2lnx = ln * 3x + -1[ln(9) + -2ln(3)]

Reorder the terms for easier multiplication:
2lnx = 3ln * x + -1[ln(9) + -2ln(3)]

Multiply ln * x
2lnx = 3lnx + -1[ln(9) + -2ln(3)]

Reorder the terms for easier multiplication:
2lnx = 3lnx + -1[9ln + -2ln(3)]

Reorder the terms for easier multiplication:
2lnx = 3lnx + -1[9ln + -2 * 3ln]

Multiply -2 * 3
2lnx = 3lnx + -1[9ln + -6ln]

Combine like terms: 9ln + -6ln = 3ln
2lnx = 3lnx + -1[3ln]

Remove brackets around [3ln]
2lnx = 3lnx + -1 * 3ln

Multiply -1 * 3
2lnx = 3lnx + -3ln

Reorder the terms:
2lnx = -3ln + 3lnx

Solving
2lnx = -3ln + 3lnx

Solving for variable 'l'.

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

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(3 + -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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + 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:

| (4/5x^2y^-2)^2(x^5y^3) | | 3x+7(7x+17)=-14 | | log(x+5)=log(5x-3) | | 4x^4+x^2-5=0 | | 9a-4a=0 | | X+y+z=38 | | [14-3(x-2y)]+5(3x+y)= | | 42-4x=12-7x | | s-13=94 | | 6x+9y=11 | | -y+2x=-10 | | 15x-7=5(3x*2)+11 | | 80x^2+28x-24=0 | | 7(2k+4)-6=7k-20 | | 2w-9= | | 180=(x+23)+(x+54) | | 2k^2-4k-9-18=0 | | 24=2l+2(0.25l+1) | | (-18)+x=-4 | | -2x+5(-x+13)=2 | | 7-5/7x9 | | 10=x^2+8x | | 4h+7+2h+13=56 | | 4÷2/5 | | 15x-7=5(3*2)+11 | | 5(x+2)+9x= | | 5h+5v=t | | 2w-7= | | 11x-209=4x-6 | | log(15+5x)=2 | | 3(w+7)-5w=x+12 | | w-17/9=12 |

Equations solver categories