log(2x-3)=log

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


Simplifying
log(2x + -3) = log

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

Solving
-3glo + 2glox = glo

Solving for variable 'g'.

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

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

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

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

Factor out the Greatest Common Factor (GCF), '2glo'.
2glo(-2 + x) = 0

Ignore the factor 2.

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 '(-2 + x)' equal to zero and attempt to solve:

Simplifying
-2 + x = 0

Solving
-2 + x = 0

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

Add '2' to each side of the equation.
-2 + 2 + x = 0 + 2

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

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

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

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

Simplifying
0 = 2 + -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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