log[2](4x-1)=log[3](9)

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Solution for log[2](4x-1)=log[3](9) equation: 


Simplifying
log[2](4x + -1) = log[3](9)

Reorder the terms:
glo * 2(-1 + 4x) = log[3](9)

Reorder the terms for easier multiplication:
2glo(-1 + 4x) = log[3](9)
(-1 * 2glo + 4x * 2glo) = log[3](9)
(-2glo + 8glox) = log[3](9)

Reorder the terms for easier multiplication:
-2glo + 8glox = 3 * 9glo

Multiply 3 * 9
-2glo + 8glox = 27glo

Solving
-2glo + 8glox = 27glo

Solving for variable 'g'.

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

Add '-27glo' to each side of the equation.
-2glo + -27glo + 8glox = 27glo + -27glo

Combine like terms: -2glo + -27glo = -29glo
-29glo + 8glox = 27glo + -27glo

Combine like terms: 27glo + -27glo = 0
-29glo + 8glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-29 + 8x) = 0


Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve:

Simplifying
glo = 0

Solving
glo = 0

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

Simplifying
glo = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-29 + 8x)' equal to zero and attempt to solve:

Simplifying
-29 + 8x = 0

Solving
-29 + 8x = 0

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

Add '29' to each side of the equation.
-29 + 29 + 8x = 0 + 29

Combine like terms: -29 + 29 = 0
0 + 8x = 0 + 29
8x = 0 + 29

Combine like terms: 0 + 29 = 29
8x = 29

Add '-8x' to each side of the equation.
8x + -8x = 29 + -8x

Combine like terms: 8x + -8x = 0
0 = 29 + -8x

Simplifying
0 = 29 + -8x

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.

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