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

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


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

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

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

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

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

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

Solving
5ln + 3lnx = 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 + 3x) = 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 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 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 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Add '-3x' to each side of the equation.
3x + -3x = -5 + -3x

Combine like terms: 3x + -3x = 0
0 = -5 + -3x

Simplifying
0 = -5 + -3x

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:

| 5y+5=-4 | | 2x+4y=6y+.25x | | 5u^3-3u^2-9u+7=0 | | 25x^2+30x+225=0 | | A-15=-24 | | 4x^2+20= | | x^2-(x^2-4x+4)=32 | | -3/4x+3/8=0 | | -5z+2= | | 6-3y=5y-62 | | 9(n+2)=27 | | 4y+10=-18 | | .55x=4.95 | | c^2+3c+7cq+21q= | | log[5]9x-4=1 | | 11x-2y=62 | | 7y+2=28 | | 7/3x=14/27 | | 8-q=5 | | .55=4.95 | | -23-(-16)+(-15)-13= | | 7(w-2)=5(3-w) | | a/2+4=8 | | 7=2m-3 | | y+9=5/3(5+5) | | 7y+2=26 | | -40-x=8(7x-5) | | y-3/4w=-9/20 | | 21/3(5-3) | | 2x+4y=6y+1/2x | | 7x+2y-3x+4= | | j+0.15j=9.20 |

Equations solver categories