log[4](2x+3)+log[4](4)=6

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Solution for log[4](2x+3)+log[4](4)=6 equation: 


Simplifying
log[4](2x + 3) + log[4](4) = 6

Reorder the terms:
glo * 4(3 + 2x) + log[4](4) = 6

Reorder the terms for easier multiplication:
4glo(3 + 2x) + log[4](4) = 6
(3 * 4glo + 2x * 4glo) + log[4](4) = 6
(12glo + 8glox) + log[4](4) = 6

Reorder the terms for easier multiplication:
12glo + 8glox + 4 * 4glo = 6

Multiply 4 * 4
12glo + 8glox + 16glo = 6

Reorder the terms:
12glo + 16glo + 8glox = 6

Combine like terms: 12glo + 16glo = 28glo
28glo + 8glox = 6

Solving
28glo + 8glox = 6

Solving for variable 'g'.

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

Reorder the terms:
-6 + 28glo + 8glox = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 28glo + 8glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 14glo + 4glox) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-3 + 14glo + 4glox)' equal to zero and attempt to solve:

Simplifying
-3 + 14glo + 4glox = 0

Solving
-3 + 14glo + 4glox = 0

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

Add '3' to each side of the equation.
-3 + 14glo + 3 + 4glox = 0 + 3

Reorder the terms:
-3 + 3 + 14glo + 4glox = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 14glo + 4glox = 0 + 3
14glo + 4glox = 0 + 3

Combine like terms: 0 + 3 = 3
14glo + 4glox = 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.

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