log(base)3(4x-1)=3

Solution for log(base)3(4x-1)=3 equation:

Simplifying
log(base) * 3(4x + -1) = 3

Reorder the terms:
glo * abes * 3(-1 + 4x) = 3

Reorder the terms for easier multiplication:
3glo * abes(-1 + 4x) = 3

Multiply glo * abes
3abeglos(-1 + 4x) = 3
(-1 * 3abeglos + 4x * 3abeglos) = 3
(-3abeglos + 12abeglosx) = 3

Solving
-3abeglos + 12abeglosx = 3

Solving for variable 'a'.

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

Reorder the terms:
-3 + -3abeglos + 12abeglosx = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -3abeglos + 12abeglosx = 0

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

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

Simplifying
-1 + -1abeglos + 4abeglosx = 0

Solving
-1 + -1abeglos + 4abeglosx = 0

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

Add '1' to each side of the equation.
-1 + -1abeglos + 1 + 4abeglosx = 0 + 1

Reorder the terms:
-1 + 1 + -1abeglos + 4abeglosx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1abeglos + 4abeglosx = 0 + 1
-1abeglos + 4abeglosx = 0 + 1

Combine like terms: 0 + 1 = 1
-1abeglos + 4abeglosx = 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.