Log[3](4x+1)=3

Solution for Log[3](4x+1)=3 equation:

Simplifying
Log[3](4x + 1) = 3

Reorder the terms:
goL * 3(1 + 4x) = 3

Reorder the terms for easier multiplication:
3goL(1 + 4x) = 3
(1 * 3goL + 4x * 3goL) = 3
(3goL + 12goxL) = 3

Solving
3goL + 12goxL = 3

Solving for variable 'g'.

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

Reorder the terms:
-3 + 3goL + 12goxL = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 3goL + 12goxL = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + goL + 4goxL) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-1 + goL + 4goxL)' equal to zero and attempt to solve:

Simplifying
-1 + goL + 4goxL = 0

Solving
-1 + goL + 4goxL = 0

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

Add '1' to each side of the equation.
-1 + goL + 1 + 4goxL = 0 + 1

Reorder the terms:
-1 + 1 + goL + 4goxL = 0 + 1

Combine like terms: -1 + 1 = 0
0 + goL + 4goxL = 0 + 1
goL + 4goxL = 0 + 1

Combine like terms: 0 + 1 = 1
goL + 4goxL = 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.