log(x+13)(729)=3

Solution for log(x+13)(729)=3 equation:

Simplifying
log(x + 13)(729) = 3

Reorder the terms:
glo(13 + x)(729) = 3

Reorder the terms for easier multiplication:
729glo(13 + x) = 3
(13 * 729glo + x * 729glo) = 3
(9477glo + 729glox) = 3

Solving
9477glo + 729glox = 3

Solving for variable 'g'.

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

Reorder the terms:
-3 + 9477glo + 729glox = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 9477glo + 729glox = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + 3159glo + 243glox) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-1 + 3159glo + 243glox)' equal to zero and attempt to solve:

Simplifying
-1 + 3159glo + 243glox = 0

Solving
-1 + 3159glo + 243glox = 0

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

Add '1' to each side of the equation.
-1 + 3159glo + 1 + 243glox = 0 + 1

Reorder the terms:
-1 + 1 + 3159glo + 243glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3159glo + 243glox = 0 + 1
3159glo + 243glox = 0 + 1

Combine like terms: 0 + 1 = 1
3159glo + 243glox = 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.