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

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


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

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

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

Solving
-3glo + 2glox = 1glo + glox

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 = 1glo + -1glo + glox

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

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

Add '-1glox' to each side of the equation.
-4glo + 2glox + -1glox = glox + -1glox

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

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

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-4 + 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 '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 0

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

Add '4' to each side of the equation.
-4 + 4 + x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + x = 0 + 4
x = 0 + 4

Combine like terms: 0 + 4 = 4
x = 4

Add '-1x' to each side of the equation.
x + -1x = 4 + -1x

Combine like terms: x + -1x = 0
0 = 4 + -1x

Simplifying
0 = 4 + -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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