log(x-1)=-log(-9)

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Solution for log(x-1)=-log(-9) equation: 


Simplifying
log(x + -1) = -1log(-9)

Reorder the terms:
glo(-1 + x) = -1log(-9)
(-1 * glo + x * glo) = -1log(-9)
(-1glo + glox) = -1log(-9)

Reorder the terms for easier multiplication:
-1glo + glox = -1 * -9glo

Multiply -1 * -9
-1glo + glox = 9glo

Solving
-1glo + glox = 9glo

Solving for variable 'g'.

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

Add '-9glo' to each side of the equation.
-1glo + -9glo + glox = 9glo + -9glo

Combine like terms: -1glo + -9glo = -10glo
-10glo + glox = 9glo + -9glo

Combine like terms: 9glo + -9glo = 0
-10glo + glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-10 + 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 '(-10 + x)' equal to zero and attempt to solve:

Simplifying
-10 + x = 0

Solving
-10 + x = 0

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

Add '10' to each side of the equation.
-10 + 10 + x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + x = 0 + 10
x = 0 + 10

Combine like terms: 0 + 10 = 10
x = 10

Add '-1x' to each side of the equation.
x + -1x = 10 + -1x

Combine like terms: x + -1x = 0
0 = 10 + -1x

Simplifying
0 = 10 + -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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