log(x-1)=log(20)

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Solution for log(x-1)=log(20) equation: 


Simplifying
log(x + -1) = log(20)

Reorder the terms:
glo(-1 + x) = log(20)
(-1 * glo + x * glo) = log(20)
(-1glo + glox) = log(20)

Reorder the terms for easier multiplication:
-1glo + glox = 20glo

Solving
-1glo + glox = 20glo

Solving for variable 'g'.

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

Add '-20glo' to each side of the equation.
-1glo + -20glo + glox = 20glo + -20glo

Combine like terms: -1glo + -20glo = -21glo
-21glo + glox = 20glo + -20glo

Combine like terms: 20glo + -20glo = 0
-21glo + glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-21 + 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 '(-21 + x)' equal to zero and attempt to solve:

Simplifying
-21 + x = 0

Solving
-21 + x = 0

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

Add '21' to each side of the equation.
-21 + 21 + x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + x = 0 + 21
x = 0 + 21

Combine like terms: 0 + 21 = 21
x = 21

Add '-1x' to each side of the equation.
x + -1x = 21 + -1x

Combine like terms: x + -1x = 0
0 = 21 + -1x

Simplifying
0 = 21 + -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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