ln(2x-3)-ln(x+5)=0

Simple and best practice solution for ln(2x-3)-ln(x+5)=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(2x-3)-ln(x+5)=0 equation: 


Simplifying
ln(2x + -3) + -1ln(x + 5) = 0

Reorder the terms:
ln(-3 + 2x) + -1ln(x + 5) = 0
(-3 * ln + 2x * ln) + -1ln(x + 5) = 0
(-3ln + 2lnx) + -1ln(x + 5) = 0

Reorder the terms:
-3ln + 2lnx + -1ln(5 + x) = 0
-3ln + 2lnx + (5 * -1ln + x * -1ln) = 0
-3ln + 2lnx + (-5ln + -1lnx) = 0

Reorder the terms:
-3ln + -5ln + 2lnx + -1lnx = 0

Combine like terms: -3ln + -5ln = -8ln
-8ln + 2lnx + -1lnx = 0

Combine like terms: 2lnx + -1lnx = 1lnx
-8ln + 1lnx = 0

Solving
-8ln + 1lnx = 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(-8 + 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 '(-8 + x)' equal to zero and attempt to solve:

Simplifying
-8 + x = 0

Solving
-8 + x = 0

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

Add '8' to each side of the equation.
-8 + 8 + x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + x = 0 + 8
x = 0 + 8

Combine like terms: 0 + 8 = 8
x = 8

Add '-1x' to each side of the equation.
x + -1x = 8 + -1x

Combine like terms: x + -1x = 0
0 = 8 + -1x

Simplifying
0 = 8 + -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:

| 0.4(b)+9.2=10 | | -0.8(k)-3.1=-8.3 | | 15=3y+9 | | 1.2(n)+3.4=10 | | 0.7(c)-10=0.5 | | 2/3(a-3)=1/3 | | -1=7+4x | | 3x-7=5x+9 | | x/4+4=8 | | x^2+4x=-13 | | 2z+z^2-35=0 | | 7/10(c)-10=2/5 | | 2x(3x+5)=0 | | 1/4(c)+2=3/4 | | 8-w/10=3/5 | | 3x-8=4x+5-9 | | 6x-3y=57 | | 9q^2-35=14 | | 9-2=7 | | 3(3-4x)=7-3(1-3x) | | 4g^2+10=11 | | 1+30n=120 | | 17=2x+7 | | r=30x-0.15x^2 | | k^2+5k+2=0 | | 114-2r=57 | | K+9=7(k-11) | | r+114=57 | | x^2+5k+2=0 | | 2+n=52 | | b^2+11=86 | | 2+114n=57 |

Equations solver categories