log[5](x-3)=5

Solution for log[5](x-3)=5 equation:

Simplifying
log[5](x + -3) = 5

Reorder the terms:
glo * 5(-3 + x) = 5

Reorder the terms for easier multiplication:
5glo(-3 + x) = 5
(-3 * 5glo + x * 5glo) = 5
(-15glo + 5glox) = 5

Solving
-15glo + 5glox = 5

Solving for variable 'g'.

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

Reorder the terms:
-5 + -15glo + 5glox = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + -15glo + 5glox = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-1 + -3glo + glox) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-1 + -3glo + glox)' equal to zero and attempt to solve:

Simplifying
-1 + -3glo + glox = 0

Solving
-1 + -3glo + glox = 0

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

Add '1' to each side of the equation.
-1 + -3glo + 1 + glox = 0 + 1

Reorder the terms:
-1 + 1 + -3glo + glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3glo + glox = 0 + 1
-3glo + glox = 0 + 1

Combine like terms: 0 + 1 = 1
-3glo + glox = 1

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.