log*7(9x)+3log*7(6)=3

Solution for log*7(9x)+3log*7(6)=3 equation:

Simplifying
log * 7(9x) + 3log * 7(6) = 3

Remove parenthesis around (9x)
glo * 7 * 9x + 3log * 7(6) = 3

Reorder the terms for easier multiplication:
7 * 9glo * x + 3log * 7(6) = 3

Multiply 7 * 9
63glo * x + 3log * 7(6) = 3

Multiply glo * x
63glox + 3log * 7(6) = 3

Reorder the terms for easier multiplication:
63glox + 3 * 7 * 6glo = 3

Multiply 3 * 7
63glox + 21 * 6glo = 3

Multiply 21 * 6
63glox + 126glo = 3

Reorder the terms:
126glo + 63glox = 3

Solving
126glo + 63glox = 3

Solving for variable 'g'.

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

Reorder the terms:
-3 + 126glo + 63glox = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 126glo + 63glox = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + 42glo + 21glox) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-1 + 42glo + 21glox)' equal to zero and attempt to solve:

Simplifying
-1 + 42glo + 21glox = 0

Solving
-1 + 42glo + 21glox = 0

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

Add '1' to each side of the equation.
-1 + 42glo + 1 + 21glox = 0 + 1

Reorder the terms:
-1 + 1 + 42glo + 21glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 42glo + 21glox = 0 + 1
42glo + 21glox = 0 + 1

Combine like terms: 0 + 1 = 1
42glo + 21glox = 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.