ln(x+4)-ln(x+1)=lnx

Simple and best practice solution for ln(x+4)-ln(x+1)=lnx 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+4)-ln(x+1)=lnx equation: 


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

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

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

Reorder the terms:
4ln + -1ln + lnx + -1lnx = lnx

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

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

Solving
3ln = 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 + -1lnx = lnx + -1lnx

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(3 + -1x) = 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 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

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

Combine like terms: -1x + x = 0
0 = -3 + x

Simplifying
0 = -3 + x

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:

| 3x-7=4x+3 | | x*x+4x-21=x+7 | | -6-6x=-42 | | 2(x-4)=65 | | 3x=65-3 | | 3s-10=36 | | -4+2(5x-6)=-3-39 | | -15=30x | | 12x^2+1x+5=0 | | -15=30 | | .4x+56=.6(x+80) | | 144+33=x | | 5q^2-10z=-12 | | -3(1+6m)=14-m | | x+12x=66 | | 6(6k+6)-5=1+6k | | x-15=30 | | -3+x=9 | | x(x+12)=66 | | .4x-5+.75=-.5x | | -x-8=23 | | 2x(x+4)-5x^2= | | x+12=66+x | | (.15x)=31.05 | | 8x-10x=20 | | 2x=66+12 | | -7x^2=-488 | | (.15x+x)=31.05 | | N-25=3-N | | 2(n+.3)=1.5+1+.5n-.3 | | (3x+12)-x=360 | | 666x^2=0 |

Equations solver categories