log(2x+1)=log(3x)

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Solution for log(2x+1)=log(3x) equation: 


Simplifying
log(2x + 1) = log(3x)

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

Remove parenthesis around (3x)
1glo + 2glox = glo * 3x

Reorder the terms for easier multiplication:
1glo + 2glox = 3glo * x

Multiply glo * x
1glo + 2glox = 3glox

Solving
1glo + 2glox = 3glox

Solving for variable 'g'.

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

Add '-3glox' to each side of the equation.
1glo + 2glox + -3glox = 3glox + -3glox

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

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

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

Simplifying
1 + -1x = 0

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

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

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

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

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

Simplifying
0 = -1 + 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.

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