-2ln(x)+3ln(x^2)=ln(27x)

Simple and best practice solution for -2ln(x)+3ln(x^2)=ln(27x) 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)+3ln(x^2)=ln(27x) equation: 


Simplifying
-2ln(x) + 3ln(x2) = ln(27x)

Multiply ln * x
-2lnx + 3ln(x2) = ln(27x)

Multiply ln * x2
-2lnx + 3lnx2 = ln(27x)

Remove parenthesis around (27x)
-2lnx + 3lnx2 = ln * 27x

Reorder the terms for easier multiplication:
-2lnx + 3lnx2 = 27ln * x

Multiply ln * x
-2lnx + 3lnx2 = 27lnx

Solving
-2lnx + 3lnx2 = 27lnx

Solving for variable 'l'.

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

Add '-27lnx' to each side of the equation.
-2lnx + -27lnx + 3lnx2 = 27lnx + -27lnx

Combine like terms: -2lnx + -27lnx = -29lnx
-29lnx + 3lnx2 = 27lnx + -27lnx

Combine like terms: 27lnx + -27lnx = 0
-29lnx + 3lnx2 = 0

Factor out the Greatest Common Factor (GCF), 'lnx'.
lnx(-29 + 3x) = 0


Subproblem 1
Set the factor 'lnx' equal to zero and attempt to solve:

Simplifying
lnx = 0

Solving
lnx = 0

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

Simplifying
lnx = 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 '(-29 + 3x)' equal to zero and attempt to solve:

Simplifying
-29 + 3x = 0

Solving
-29 + 3x = 0

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

Add '29' to each side of the equation.
-29 + 29 + 3x = 0 + 29

Combine like terms: -29 + 29 = 0
0 + 3x = 0 + 29
3x = 0 + 29

Combine like terms: 0 + 29 = 29
3x = 29

Add '-3x' to each side of the equation.
3x + -3x = 29 + -3x

Combine like terms: 3x + -3x = 0
0 = 29 + -3x

Simplifying
0 = 29 + -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:

| 22+3x=1.5x+57 | | 14u-9u=20 | | 5a^2+5a-30=0 | | 11.5+0.9(X)=24.1 | | -4ln(x)+3ln(x^2)=ln(27x) | | (3/4)-(27/8) | | 5x+5y=93 | | 8+7+x=32 | | 7+X=37 | | 6.3+.5(X)=16.3 | | 8x-x=24 | | 6.3+.5(8)= | | 8x-x=27 | | 6.3+.5(3)= | | -4r+4f= | | -10+X=-12 | | 3(4y+7)=33 | | 12=1/9(36x=18) | | 22.5+2(X)=26.75 | | 6(5+7)=6(5)+6(7) | | 6x+6=3(x-4) | | 22.5+2(.75)= | | (X^2+2)-2x^2=0 | | -4=-6+v | | 2x+76y=36 | | 3x-7=2-1+x+7 | | r-5r+4f= | | -4.3-.1(X)=-6.1 | | u-3=-9 | | 5x+85=11x-5 | | -4.3-.1(X)=6.1 | | 5/9x18 |

Equations solver categories