log(3x+1)=logx

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


Simplifying
log(3x + 1) = logx

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

Solving
1glo + 3glox = glox

Solving for variable 'g'.

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

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

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

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

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(1 + 2x) = 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 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Add '-2x' to each side of the equation.
2x + -2x = -1 + -2x

Combine like terms: 2x + -2x = 0
0 = -1 + -2x

Simplifying
0 = -1 + -2x

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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