ln(x-2)-ln(3)+ln(x)=0

Simple and best practice solution for ln(x-2)-ln(3)+ln(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(x-2)-ln(3)+ln(x)=0 equation: 


Simplifying
ln(x + -2) + -1ln(3) + ln(x) = 0

Reorder the terms:
ln(-2 + x) + -1ln(3) + ln(x) = 0
(-2 * ln + x * ln) + -1ln(3) + ln(x) = 0
(-2ln + lnx) + -1ln(3) + ln(x) = 0

Reorder the terms for easier multiplication:
-2ln + lnx + -1 * 3ln + ln(x) = 0

Multiply -1 * 3
-2ln + lnx + -3ln + ln(x) = 0

Multiply ln * x
-2ln + lnx + -3ln + lnx = 0

Reorder the terms:
-2ln + -3ln + lnx + lnx = 0

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

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

Solving
-5ln + 2lnx = 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), 'ln'.
ln(-5 + 2x) = 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 + 2x)' equal to zero and attempt to solve:

Simplifying
-5 + 2x = 0

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

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

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

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

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

Simplifying
0 = 5 + -2x

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:

| 15x/5x= | | (6.1+5.8)x=x+80.3 | | x-28=5x+8 | | 3x-4+7x=2x+4 | | 7x+12=2x-6 | | x+y-z=32 | | 9x-4+18=68 | | 8-8x=23 | | a+x=2y | | 2x+23+9x-5=90 | | =3n+6 | | 10k+3=6k+-15 | | x-z=-y | | -2-6=7x+12 | | 16t^2-230t=0 | | 3t+4+7=6t+9 | | X+21=38 | | h=230t-16t^2 | | 6.1+5.8x=8.3+x | | x-y=11y | | 7-3(b+8)=7b-7(b-4) | | 2a+5+3a-4=111 | | 257=x-365 | | -4c+5=1 | | 0.75x+9y=30 | | 10k=-100 | | 2x^3+2x^2-6x-1040=0 | | b-3.8=-13.3 | | -12b+10=154 | | 2(8p-4)-8(p+1)=-40 | | 105=2p+5 | | 3(4y-1)-(4y+1)+(-2y-3)=y+2 |

Equations solver categories