log(x-1)-log(13)=log(8)

Solution for log(x-1)-log(13)=log(8) equation:

Simplifying
log(x + -1) + -1log(13) = log(8)

Reorder the terms:
glo(-1 + x) + -1log(13) = log(8)
(-1 * glo + x * glo) + -1log(13) = log(8)
(-1glo + glox) + -1log(13) = log(8)

Reorder the terms for easier multiplication:
-1glo + glox + -1 * 13glo = log(8)

Multiply -1 * 13
-1glo + glox + -13glo = log(8)

Reorder the terms:
-1glo + -13glo + glox = log(8)

Combine like terms: -1glo + -13glo = -14glo
-14glo + glox = log(8)

Reorder the terms for easier multiplication:
-14glo + glox = 8glo

Solving
-14glo + glox = 8glo

Solving for variable 'g'.

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

Add '-8glo' to each side of the equation.
-14glo + -8glo + glox = 8glo + -8glo

Combine like terms: -14glo + -8glo = -22glo
-22glo + glox = 8glo + -8glo

Combine like terms: 8glo + -8glo = 0
-22glo + glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-22 + 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 '(-22 + x)' equal to zero and attempt to solve:

Simplifying
-22 + x = 0

Solving
-22 + x = 0

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

Add '22' to each side of the equation.
-22 + 22 + x = 0 + 22

Combine like terms: -22 + 22 = 0
0 + x = 0 + 22
x = 0 + 22

Combine like terms: 0 + 22 = 22
x = 22

Add '-1x' to each side of the equation.
x + -1x = 22 + -1x

Combine like terms: x + -1x = 0
0 = 22 + -1x

Simplifying
0 = 22 + -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.