log(x+5)=ln(x-3)

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


Simplifying
log(x + 5) = ln(x + -3)

Reorder the terms:
glo(5 + x) = ln(x + -3)
(5 * glo + x * glo) = ln(x + -3)
(5glo + glox) = ln(x + -3)

Reorder the terms:
5glo + glox = ln(-3 + x)
5glo + glox = (-3 * ln + x * ln)
5glo + glox = (-3ln + lnx)

Solving
5glo + glox = -3ln + lnx

Solving for variable 'g'.

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

Reorder the terms:
5glo + glox + 3ln + -1lnx = -3ln + 3ln + lnx + -1lnx

Combine like terms: -3ln + 3ln = 0
5glo + glox + 3ln + -1lnx = 0 + lnx + -1lnx
5glo + glox + 3ln + -1lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
5glo + glox + 3ln + -1lnx = 0

Factor out the Greatest Common Factor (GCF), 'l'.
l(5go + gox + 3n + -1nx) = 0


Subproblem 1
Set the factor 'l' equal to zero and attempt to solve:

Simplifying
l = 0

Solving
l = 0

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

Add '-1l' to each side of the equation.
l + -1l = 0 + -1l
Remove the zero:
0 = -1l

Simplifying
0 = -1l

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 '(5go + gox + 3n + -1nx)' equal to zero and attempt to solve:

Simplifying
5go + gox + 3n + -1nx = 0

Solving
5go + gox + 3n + -1nx = 0

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

Add '-3n' to each side of the equation.
5go + gox + 3n + -3n + -1nx = 0 + -3n

Combine like terms: 3n + -3n = 0
5go + gox + 0 + -1nx = 0 + -3n
5go + gox + -1nx = 0 + -3n
Remove the zero:
5go + gox + -1nx = -3n

Add 'nx' to each side of the equation.
5go + gox + -1nx + nx = -3n + nx

Combine like terms: -1nx + nx = 0
5go + gox + 0 = -3n + nx
5go + gox = -3n + nx

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:

| m^2-5m+14=0 | | 5(2x-8)-7x=x+6 | | 40y^9+5y^4= | | 8x-3y+4=0 | | (-1)211= | | 12-m=2m | | 23=7x+3-2x | | y=4x+3x | | 48=x+9+2x | | .6x-.1=4 | | 0=5-n-7 | | 6m-17=-17+2m | | 4x+y=2000000 | | 15x-3=3x-75 | | =hb | | 36y^8+4y^3= | | 12-3(4x-1)=5 | | 3*x^2+7x-15= | | 0.2x-8=-2+x | | tan(x)=20 | | -23x+4y=72 | | 6=5x-2x+3 | | x-30=15+4x | | 3x^4-2x+51=0 | | 10+24=x | | -3(3y-3)-y=-3(y-3) | | n+2+5n=8 | | (2x)-7=19 | | tanx=20 | | -1.2p-1.788p-10.241=-7.551p+3.1p | | Nover-4+5=-16 | | m=9+2x |

Equations solver categories