2lnx=ln(6x-5)

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


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

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

Solving
2lnx = -5ln + 6lnx

Solving for variable 'l'.

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

Add '5ln' to each side of the equation.
5ln + 2lnx = -5ln + 5ln + 6lnx

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

Add '-6lnx' to each side of the equation.
5ln + 2lnx + -6lnx = 6lnx + -6lnx

Combine like terms: 2lnx + -6lnx = -4lnx
5ln + -4lnx = 6lnx + -6lnx

Combine like terms: 6lnx + -6lnx = 0
5ln + -4lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(5 + -4x) = 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 '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Add '4x' to each side of the equation.
-4x + 4x = -5 + 4x

Combine like terms: -4x + 4x = 0
0 = -5 + 4x

Simplifying
0 = -5 + 4x

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:

| 4x-5=10x+4 | | (x*0.24)-x=18.67 | | 0.1X^2+0.000018x-0.000018=0 | | x+x+5=13 | | (x+3)3+2=4x+2 | | 2+3x=4+2x | | 15-6x=6x | | x+[x-1]+[x-2]=31 | | 63+14p= | | 45-7y=4 | | 3x^3+x^2-3=0 | | 3x^2+x^2-3=0 | | 3(2-x)=8-2(4-1) | | 200-3x^2=50-90+1000+4x^2 | | x^2+x-2.3=0 | | x+[x+1]+[x+2]+(x+3)+(x+4)=66 | | 2k+U=6V | | abc+abc+abc=3b | | 4800=b+3a+2c | | 6+c=2+5c | | (X+5)=(75-x) | | sqrt(5x+44)-7=3x-3 | | (12987+y)*0.1=y | | 4x^2-91=81+225.75 | | -4=7 | | 4x^2-91=81+225 | | 6n-10=8n-29 | | 34+x=200-2x | | (X-5)+72=180 | | 4x-12=-160 | | 11x-9=7x+7 | | x^2+2y^2-z^2-2x+12y+17=0 |

Equations solver categories