ln(4x)-ln(x+3)=ln(x)

Simple and best practice solution for ln(4x)-ln(x+3)=ln(x) 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(4x)-ln(x+3)=ln(x) equation: 


Simplifying
ln(4x) + -1ln(x + 3) = ln(x)

Remove parenthesis around (4x)
ln * 4x + -1ln(x + 3) = ln(x)

Reorder the terms for easier multiplication:
4ln * x + -1ln(x + 3) = ln(x)

Multiply ln * x
4lnx + -1ln(x + 3) = ln(x)

Reorder the terms:
4lnx + -1ln(3 + x) = ln(x)
4lnx + (3 * -1ln + x * -1ln) = ln(x)
4lnx + (-3ln + -1lnx) = ln(x)

Reorder the terms:
-3ln + 4lnx + -1lnx = ln(x)

Combine like terms: 4lnx + -1lnx = 3lnx
-3ln + 3lnx = ln(x)

Multiply ln * x
-3ln + 3lnx = lnx

Solving
-3ln + 3lnx = lnx

Solving for variable 'l'.

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

Add '-1lnx' to each side of the equation.
-3ln + 3lnx + -1lnx = lnx + -1lnx

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

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-3 + 2x) = 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 + 2x)' equal to zero and attempt to solve:

Simplifying
-3 + 2x = 0

Solving
-3 + 2x = 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 + 2x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 0 + 3
2x = 0 + 3

Combine like terms: 0 + 3 = 3
2x = 3

Add '-2x' to each side of the equation.
2x + -2x = 3 + -2x

Combine like terms: 2x + -2x = 0
0 = 3 + -2x

Simplifying
0 = 3 + -2x

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:

| 723-3m=5m+7 | | 2j+14=9 | | 5-2t=9 | | 2/3=x/17 | | 3x-5*2x+10=0 | | sin^2(2x)-3cos(2x)=3 | | 82=4y-3 | | 12/x=6/10 | | 15t-5+t=-2t+3 | | 6+55x=-8+8x | | 14x/3=5 | | 16x^2+y^2-8y=0 | | 12x/2=9.5 | | 4.5r=234 | | 15t-5+t=2t+3 | | 9a+2b+5a+8b= | | 46=5x-7 | | 7x=14/3= | | 46=5*-7 | | 2t=18.62 | | 18=2y+9 | | =18.6 | | 10(d+4)=4 | | 12-6p=p-9 | | [3-2(x+1)]=5 | | 5*25(3x)=125 | | -6+4f=8+2 | | 7=4-b | | 24x^2-39=-26x | | x+4[3-2(x+1)]=5[x-3(2x-4)]+1 | | 12+c=17 | | 3+3e=9 |

Equations solver categories