loge(x+3)+ln(x)=0

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Solution for loge(x+3)+ln(x)=0 equation: 


Simplifying
loge(x + 3) + ln(x) = 0

Reorder the terms:
eglo(3 + x) + ln(x) = 0
(3 * eglo + x * eglo) + ln(x) = 0
(3eglo + eglox) + ln(x) = 0

Multiply ln * x
3eglo + eglox + lnx = 0

Solving
3eglo + eglox + lnx = 0

Solving for variable 'e'.

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

Add '-1lnx' to each side of the equation.
3eglo + eglox + lnx + -1lnx = 0 + -1lnx

Combine like terms: lnx + -1lnx = 0
3eglo + eglox + 0 = 0 + -1lnx
3eglo + eglox = 0 + -1lnx
Remove the zero:
3eglo + eglox = -1lnx

Combine like terms: -1lnx + lnx = 0
3eglo + eglox + lnx = 0

Factor out the Greatest Common Factor (GCF), 'l'.
l(3ego + egox + nx) = 0


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

Simplifying
l = 0

Solving
l = 0

Move all terms containing e 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 '(3ego + egox + nx)' equal to zero and attempt to solve:

Simplifying
3ego + egox + nx = 0

Solving
3ego + egox + nx = 0

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

Add '-1nx' to each side of the equation.
3ego + egox + nx + -1nx = 0 + -1nx

Combine like terms: nx + -1nx = 0
3ego + egox + 0 = 0 + -1nx
3ego + egox = 0 + -1nx
Remove the zero:
3ego + egox = -1nx

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.

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