log(3x+5)-log(2x+4)=0

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Solution for log(3x+5)-log(2x+4)=0 equation: 


Simplifying
log(3x + 5) + -1log(2x + 4) = 0

Reorder the terms:
glo(5 + 3x) + -1log(2x + 4) = 0
(5 * glo + 3x * glo) + -1log(2x + 4) = 0
(5glo + 3glox) + -1log(2x + 4) = 0

Reorder the terms:
5glo + 3glox + -1glo(4 + 2x) = 0
5glo + 3glox + (4 * -1glo + 2x * -1glo) = 0
5glo + 3glox + (-4glo + -2glox) = 0

Reorder the terms:
5glo + -4glo + 3glox + -2glox = 0

Combine like terms: 5glo + -4glo = 1glo
1glo + 3glox + -2glox = 0

Combine like terms: 3glox + -2glox = 1glox
1glo + 1glox = 0

Solving
1glo + 1glox = 0

Solving for variable 'g'.

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

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(1 + x) = 0


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

Simplifying
glo = 0

Solving
glo = 0

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

Simplifying
glo = 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 '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

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

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

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

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

Simplifying
0 = -1 + -1x

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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