ln(5x)-ln(x+1)=ln(2)

Simple and best practice solution for ln(5x)-ln(x+1)=ln(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 ln(5x)-ln(x+1)=ln(2) equation: 


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

Remove parenthesis around (5x)
ln * 5x + -1ln(x + 1) = ln(2)

Reorder the terms for easier multiplication:
5ln * x + -1ln(x + 1) = ln(2)

Multiply ln * x
5lnx + -1ln(x + 1) = ln(2)

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

Reorder the terms:
-1ln + 5lnx + -1lnx = ln(2)

Combine like terms: 5lnx + -1lnx = 4lnx
-1ln + 4lnx = ln(2)

Reorder the terms for easier multiplication:
-1ln + 4lnx = 2ln

Solving
-1ln + 4lnx = 2ln

Solving for variable 'l'.

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

Add '-2ln' to each side of the equation.
-1ln + -2ln + 4lnx = 2ln + -2ln

Combine like terms: -1ln + -2ln = -3ln
-3ln + 4lnx = 2ln + -2ln

Combine like terms: 2ln + -2ln = 0
-3ln + 4lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-3 + 4x) = 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 '(-3 + 4x)' equal to zero and attempt to solve:

Simplifying
-3 + 4x = 0

Solving
-3 + 4x = 0

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

Add '3' to each side of the equation.
-3 + 3 + 4x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 0 + 3
4x = 0 + 3

Combine like terms: 0 + 3 = 3
4x = 3

Add '-4x' to each side of the equation.
4x + -4x = 3 + -4x

Combine like terms: 4x + -4x = 0
0 = 3 + -4x

Simplifying
0 = 3 + -4x

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:

| 8(x-4)-9=6x+9 | | 27=m/18 | | 31w=496 | | -3X+8=36+7x | | 7a-8=13(a-5) | | p/28=28 | | 3n^2-37n+1360=0 | | (1)/(3sqrt(5)) | | y-4(3-4y)=-3.5 | | 20r=900 | | 44+y=20 | | 6-6y=36 | | Logx=35 | | 44x+99x=4 | | 0.01/0.025= | | 0.025/0.1= | | s+8=67 | | 0.025/0.1 | | (4y+5)-(3+3y)=9 | | x*x-26=133 | | 6*(x+2)=48 | | 50xsquared=200 | | 1-1.2y=-3.2 | | -3.6y+5.54=-3.1 | | 4p+2=5 | | 4x+5(x+2)=-44 | | 3(7e+7)+1=148 | | 216/5x-3=12 | | 4(2x+3)-7=5(3x+2) | | 4a-8b=16 | | -3/8(72) | | b-12=30 |

Equations solver categories