ln(5x-6)-2ln(x)=0

Simple and best practice solution for ln(5x-6)-2ln(x)=0 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 ln(5x-6)-2ln(x)=0 equation: 


Simplifying
ln(5x + -6) + -2ln(x) = 0

Reorder the terms:
ln(-6 + 5x) + -2ln(x) = 0
(-6 * ln + 5x * ln) + -2ln(x) = 0
(-6ln + 5lnx) + -2ln(x) = 0

Multiply ln * x
-6ln + 5lnx + -2lnx = 0

Combine like terms: 5lnx + -2lnx = 3lnx
-6ln + 3lnx = 0

Solving
-6ln + 3lnx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), '3ln'.
3ln(-2 + x) = 0

Ignore the factor 3.

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 + x)' equal to zero and attempt to solve:

Simplifying
-2 + x = 0

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

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

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

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

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

Simplifying
0 = 2 + -1x

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:

| 3/5m=8/5 | | n^2+n=39 | | 4x+79=41 | | (13x+8)(5x-7)=0 | | 2−b/3=(−5/2) | | 5+2(6p+3)=71 | | 3/7=?/21 | | 2(x+1)-6=6 | | (x^2+2x+3)(x^2-2x*2)=0 | | 4x^2-33x+34=-8x+9 | | 16x-9x=14 | | 3(x-1)=5x+3 | | 16y^2-169= | | log(15)-log(4x)=1 | | 4v+5v=45 | | 25=q+5 | | 3x+12x^2-9x=3x | | 5x+40=9x+25 | | Ca=CB-d | | 7n+1=-6 | | 14x=44 | | -2(8-5(2-3x)-7x)=4(x+9) | | x+2xy-6y-2=0 | | 3x+4+6x=5x | | 4(k-3)=12-(2k-6) | | -2x+7+1x=16 | | 2x-11=57 | | x+40=150 | | -0.1x^2+6.6x+8.2=0 | | 5(x-3)+2(x-4)=-2 | | 8(x+5)=150 | | x=x^4+3x^3+7x^2-6x-13 |

Equations solver categories