log(3x+2)=log(2x+5)

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


Simplifying
log(3x + 2) = log(2x + 5)

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

Reorder the terms:
2glo + 3glox = glo(5 + 2x)
2glo + 3glox = (5 * glo + 2x * glo)
2glo + 3glox = (5glo + 2glox)

Solving
2glo + 3glox = 5glo + 2glox

Solving for variable 'g'.

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

Add '-5glo' to each side of the equation.
2glo + -5glo + 3glox = 5glo + -5glo + 2glox

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-3 + 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 '(-3 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 0

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

Add '3' to each side of the equation.
-3 + 3 + x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x = 0 + 3
x = 0 + 3

Combine like terms: 0 + 3 = 3
x = 3

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

Combine like terms: x + -1x = 0
0 = 3 + -1x

Simplifying
0 = 3 + -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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