Log(x-5)64=6

Solution for Log(x-5)64=6 equation:

Simplifying
Log(x + -5) * 64 = 6

Reorder the terms:
goL(-5 + x) * 64 = 6

Reorder the terms for easier multiplication:
64goL(-5 + x) = 6
(-5 * 64goL + x * 64goL) = 6
(-320goL + 64goxL) = 6

Solving
-320goL + 64goxL = 6

Solving for variable 'g'.

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

Reorder the terms:
-6 + -320goL + 64goxL = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + -320goL + 64goxL = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + -160goL + 32goxL) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + -160goL + 32goxL)' equal to zero and attempt to solve:

Simplifying
-3 + -160goL + 32goxL = 0

Solving
-3 + -160goL + 32goxL = 0

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

Add '3' to each side of the equation.
-3 + -160goL + 3 + 32goxL = 0 + 3

Reorder the terms:
-3 + 3 + -160goL + 32goxL = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -160goL + 32goxL = 0 + 3
-160goL + 32goxL = 0 + 3

Combine like terms: 0 + 3 = 3
-160goL + 32goxL = 3

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.