2lnx=ln*4+ln(x-1)

Simple and best practice solution for 2lnx=ln*4+ln(x-1) 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*4+ln(x-1) equation: 


Simplifying
2lnx = ln * 4 + ln(x + -1)

Reorder the terms for easier multiplication:
2lnx = 4ln + ln(x + -1)

Reorder the terms:
2lnx = 4ln + ln(-1 + x)
2lnx = 4ln + (-1 * ln + x * ln)
2lnx = 4ln + (-1ln + lnx)

Combine like terms: 4ln + -1ln = 3ln
2lnx = 3ln + lnx

Solving
2lnx = 3ln + lnx

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 + lnx

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

Add '-1lnx' to each side of the equation.
-3ln + 2lnx + -1lnx = lnx + -1lnx

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

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-3 + x) = 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 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 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 + x = 0 + 3

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

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

Add '-1x' to each side of the equation.
x + -1x = 3 + -1x

Combine like terms: x + -1x = 0
0 = 3 + -1x

Simplifying
0 = 3 + -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:

| 3x+35=x+17 | | 3(x-1)=3x-3(x+2) | | y=-6(-1)-4 | | 2t^2-3t+5=0 | | 9-n=10 | | 4y+8-2y= | | x^3-17x^2+70x=0 | | -5+25x-40x-10=-4x-8x | | x-3(-6x-4)=-7 | | x=-5+6 | | x^3-4x^2-13x=0 | | 5w-15=10 | | -5(y+6)-2y=5 | | 15=5x+10y | | 3x-12=9x+12+2x | | 5(6x+2)=-10 | | -6-6=x | | 3+0.75x=7 | | -24-[-13]=x | | -6x-2x-5x=21 | | 2y+3-5y=-3 | | -8+4(8-12)=y | | x/-4=-2 | | 2y=3-5y=-3 | | 0+4(0-12)=y | | 4+4(-4-12)=y | | 1500+.80d=1.59d | | -4-[-3]=z | | y=-3(-4)-11 | | 52.5+42y=25.5+52y | | -4-7.2x=-8 | | -4*6=x |

Equations solver categories