log[4](-6-2x)=1

Solution for log[4](-6-2x)=1 equation:

Simplifying
log[4](-6 + -2x) = 1

Reorder the terms for easier multiplication:
4glo(-6 + -2x) = 1
(-6 * 4glo + -2x * 4glo) = 1
(-24glo + -8glox) = 1

Solving
-24glo + -8glox = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + -24glo + -8glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -24glo + -8glox = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + 24glo + 8glox) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(1 + 24glo + 8glox)' equal to zero and attempt to solve:

Simplifying
1 + 24glo + 8glox = 0

Solving
1 + 24glo + 8glox = 0

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

Add '-1' to each side of the equation.
1 + 24glo + -1 + 8glox = 0 + -1

Reorder the terms:
1 + -1 + 24glo + 8glox = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 24glo + 8glox = 0 + -1
24glo + 8glox = 0 + -1

Combine like terms: 0 + -1 = -1
24glo + 8glox = -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.