log(2x-3)=log(x+12)

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Solution for log(2x-3)=log(x+12) equation: 


Simplifying
log(2x + -3) = log(x + 12)

Reorder the terms:
glo(-3 + 2x) = log(x + 12)
(-3 * glo + 2x * glo) = log(x + 12)
(-3glo + 2glox) = log(x + 12)

Reorder the terms:
-3glo + 2glox = glo(12 + x)
-3glo + 2glox = (12 * glo + x * glo)
-3glo + 2glox = (12glo + glox)

Solving
-3glo + 2glox = 12glo + glox

Solving for variable 'g'.

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

Add '-12glo' to each side of the equation.
-3glo + -12glo + 2glox = 12glo + -12glo + glox

Combine like terms: -3glo + -12glo = -15glo
-15glo + 2glox = 12glo + -12glo + glox

Combine like terms: 12glo + -12glo = 0
-15glo + 2glox = 0 + glox
-15glo + 2glox = glox

Add '-1glox' to each side of the equation.
-15glo + 2glox + -1glox = glox + -1glox

Combine like terms: 2glox + -1glox = 1glox
-15glo + 1glox = glox + -1glox

Combine like terms: glox + -1glox = 0
-15glo + 1glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-15 + 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 '(-15 + x)' equal to zero and attempt to solve:

Simplifying
-15 + x = 0

Solving
-15 + x = 0

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

Add '15' to each side of the equation.
-15 + 15 + x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + x = 0 + 15
x = 0 + 15

Combine like terms: 0 + 15 = 15
x = 15

Add '-1x' to each side of the equation.
x + -1x = 15 + -1x

Combine like terms: x + -1x = 0
0 = 15 + -1x

Simplifying
0 = 15 + -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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