lnx+ln(x+2)=ln(2x+x^2)

Simple and best practice solution for lnx+ln(x+2)=ln(2x+x^2) 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 lnx+ln(x+2)=ln(2x+x^2) equation: 


Simplifying
lnx + ln(x + 2) = ln(2x + x2)

Reorder the terms:
lnx + ln(2 + x) = ln(2x + x2)
lnx + (2 * ln + x * ln) = ln(2x + x2)
lnx + (2ln + lnx) = ln(2x + x2)

Reorder the terms:
2ln + lnx + lnx = ln(2x + x2)

Combine like terms: lnx + lnx = 2lnx
2ln + 2lnx = ln(2x + x2)
2ln + 2lnx = (2x * ln + x2 * ln)
2ln + 2lnx = (2lnx + lnx2)

Add '-2lnx' to each side of the equation.
2ln + 2lnx + -2lnx = 2lnx + -2lnx + lnx2

Combine like terms: 2lnx + -2lnx = 0
2ln + 0 = 2lnx + -2lnx + lnx2
2ln = 2lnx + -2lnx + lnx2

Combine like terms: 2lnx + -2lnx = 0
2ln = 0 + lnx2
2ln = lnx2

Solving
2ln = lnx2

Solving for variable 'l'.

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

Add '-1lnx2' to each side of the equation.
2ln + -1lnx2 = lnx2 + -1lnx2

Combine like terms: lnx2 + -1lnx2 = 0
2ln + -1lnx2 = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(2 + -1x2) = 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 '(2 + -1x2)' equal to zero and attempt to solve:

Simplifying
2 + -1x2 = 0

Solving
2 + -1x2 = 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 + -1x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x2 = 0 + -2
-1x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1x2 = -2

Add 'x2' to each side of the equation.
-1x2 + x2 = -2 + x2

Combine like terms: -1x2 + x2 = 0
0 = -2 + x2

Simplifying
0 = -2 + x2

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:

| 3p/6+63/6=10 | | 56=8p | | -6=w/4 | | (-2)-(15+5)= | | 4(x+2)-18=24-2(x+1) | | 4(x+2)-18=24-2(x+1) | | m^2-16/16-m | | 1/3x+1=7/6 | | 13-5n=-1.5 | | 4(y+7)=44 | | 2=v/10 | | 42-2x(9-3)+3= | | g(x)=f(x)-5 | | -9a-2(5a-9)= | | 2u+(-5)=-25 | | b/-7+3=-5 | | 2x+5+8x=12x+4 | | 7-2m=-3 | | 33d+1=166 | | 6=8(s3/4)-20 | | -4m+7.2=-6.8 | | 33d+1=165 | | 33d+1=167 | | 5x^2=8x-2 | | x^2+2x-48=-6 | | x^2+14x+36=2x+4 | | 3g=27 | | -7r+14=-980 | | x^2+2x-47=-6 | | 5x^2+5x=-1 | | 7=7p-(4p+1) | | 4(9-10x)= |

Equations solver categories