2*ln(3x)+ln(2)=ln(x)

Simple and best practice solution for 2*ln(3x)+ln(2)=ln(x) 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 2*ln(3x)+ln(2)=ln(x) equation: 


Simplifying
2ln(3x) + ln(2) = ln(x)

Remove parenthesis around (3x)
2ln * 3x + ln(2) = ln(x)

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

Multiply 2 * 3
6ln * x + ln(2) = ln(x)

Multiply ln * x
6lnx + ln(2) = ln(x)

Reorder the terms for easier multiplication:
6lnx + 2ln = ln(x)

Reorder the terms:
2ln + 6lnx = ln(x)

Multiply ln * x
2ln + 6lnx = lnx

Solving
2ln + 6lnx = lnx

Solving for variable 'l'.

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

Add '-1lnx' to each side of the equation.
2ln + 6lnx + -1lnx = lnx + -1lnx

Combine like terms: 6lnx + -1lnx = 5lnx
2ln + 5lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
2ln + 5lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(2 + 5x) = 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 + 5x)' equal to zero and attempt to solve:

Simplifying
2 + 5x = 0

Solving
2 + 5x = 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 + 5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 0 + -2
5x = 0 + -2

Combine like terms: 0 + -2 = -2
5x = -2

Add '-5x' to each side of the equation.
5x + -5x = -2 + -5x

Combine like terms: 5x + -5x = 0
0 = -2 + -5x

Simplifying
0 = -2 + -5x

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:

| 5/5a-42 | | 14+2n=20 | | 8/3(c-3)=3/4(3c+6) | | s+8/25=-12/5 | | 2(x+5)-3=15 | | .25x-.6x=9.5-8.075 | | -79-8x=33-12x | | 12x+1=3x+37 | | 7a+43a=7 | | 2m^2+13m+15=0 | | 49b^2+35b-6=0 | | -2-12=4(-2-6) | | sqrt(5x-6)=x | | h/8=64 | | (X-2)5=5 | | 4x+2y=19 | | 8x-2/3(9x-6)=6 | | -90-(52)= | | 24=-(4y+6) | | M+4(2+-3)=-3 | | -1/2t=24 | | -6=3d | | 4x+23=3x-12 | | 4/(15-x)=1/2 | | b=3a-c | | 6(x-8)=-60 | | -10(y)-50+11y=-14 | | 7=2x/240-x | | 10x+4(2-x)=6x+8 | | (10n+7)*(12n-8)=x | | 2(4-1)=3(z+2) | | x-9(-4)=29 |

Equations solver categories