log(4)(x-25)=4

Solution for log(4)(x-25)=4 equation:

Simplifying
log(4)(x + -25) = 4

Reorder the terms:
glo * 4(-25 + x) = 4

Reorder the terms for easier multiplication:
4glo(-25 + x) = 4
(-25 * 4glo + x * 4glo) = 4
(-100glo + 4glox) = 4

Solving
-100glo + 4glox = 4

Solving for variable 'g'.

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

Reorder the terms:
-4 + -100glo + 4glox = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -100glo + 4glox = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + -25glo + glox) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-1 + -25glo + glox)' equal to zero and attempt to solve:

Simplifying
-1 + -25glo + glox = 0

Solving
-1 + -25glo + 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 + -25glo + 1 + glox = 0 + 1

Reorder the terms:
-1 + 1 + -25glo + glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -25glo + glox = 0 + 1
-25glo + glox = 0 + 1

Combine like terms: 0 + 1 = 1
-25glo + 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.