Log(5)(3-x)=5

Solution for Log(5)(3-x)=5 equation:

Simplifying
Log(5)(3 + -1x) = 5

Reorder the terms for easier multiplication:
5goL(3 + -1x) = 5
(3 * 5goL + -1x * 5goL) = 5
(15goL + -5goxL) = 5

Solving
15goL + -5goxL = 5

Solving for variable 'g'.

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

Reorder the terms:
-5 + 15goL + -5goxL = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + 15goL + -5goxL = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-1 + 3goL + -1goxL) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-1 + 3goL + -1goxL)' equal to zero and attempt to solve:

Simplifying
-1 + 3goL + -1goxL = 0

Solving
-1 + 3goL + -1goxL = 0

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

Add '1' to each side of the equation.
-1 + 3goL + 1 + -1goxL = 0 + 1

Reorder the terms:
-1 + 1 + 3goL + -1goxL = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3goL + -1goxL = 0 + 1
3goL + -1goxL = 0 + 1

Combine like terms: 0 + 1 = 1
3goL + -1goxL = 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.