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

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


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

Multiply ln * x
2lnx + 5ln(x + -2) = 0

Reorder the terms:
2lnx + 5ln(-2 + x) = 0
2lnx + (-2 * 5ln + x * 5ln) = 0
2lnx + (-10ln + 5lnx) = 0

Reorder the terms:
-10ln + 2lnx + 5lnx = 0

Combine like terms: 2lnx + 5lnx = 7lnx
-10ln + 7lnx = 0

Solving
-10ln + 7lnx = 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(-10 + 7x) = 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 '(-10 + 7x)' equal to zero and attempt to solve:

Simplifying
-10 + 7x = 0

Solving
-10 + 7x = 0

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

Add '10' to each side of the equation.
-10 + 10 + 7x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 7x = 0 + 10
7x = 0 + 10

Combine like terms: 0 + 10 = 10
7x = 10

Add '-7x' to each side of the equation.
7x + -7x = 10 + -7x

Combine like terms: 7x + -7x = 0
0 = 10 + -7x

Simplifying
0 = 10 + -7x

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:

| 12r+5+3r-5=60 | | x^3+2x^2-37x=0 | | -.0064=sin(7.85t) | | 40*80/10*10*10 | | 12/1*2x-1/3-12/1*3x-1/4=12/1*1/1 | | 2x+8+4x=-34 | | -15b+21+5b=-19 | | 2x-3(2x-3)=2(3+4x) | | -0.69x^2-5.79x+6.2=0 | | -15y-2-y=-3y-4 | | -6x+8+3x=8 | | 2x-3*(2x-3)=2*(3+4x) | | 7b+2=82-3b | | 5/4n=12 | | 1-(100/x^2)=0 | | 2z+20=8 | | -7.8(X+6.5)=25.74 | | 3(-2y)-5y=33 | | 5x-2=4x-10 | | 14+13y=20y-21 | | 16x=9x+35 | | 2.9+10m=6.48 | | f(x)=2x^2+5x+4 | | 8y+7=4y+47 | | 8x+-9=6x+1 | | -6-7x=-34 | | 2/3(X-7)=-2 | | -4(u+1)=-2(2u-5)+8u | | 180=3x+7+3x+3x+6 | | 6g-h= | | 6.2=x/3.8-9.4 | | 6.1=-8+x |

Equations solver categories