log[4]2x+log[4](x+7)=2

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Solution for log[4]2x+log[4](x+7)=2 equation: 


Simplifying
log[4] * 2x + log[4](x + 7) = 2

Reorder the terms for easier multiplication:
4 * 2glo * x + log[4](x + 7) = 2

Multiply 4 * 2
8glo * x + log[4](x + 7) = 2

Multiply glo * x
8glox + log[4](x + 7) = 2

Reorder the terms:
8glox + glo * 4(7 + x) = 2

Reorder the terms for easier multiplication:
8glox + 4glo(7 + x) = 2
8glox + (7 * 4glo + x * 4glo) = 2
8glox + (28glo + 4glox) = 2

Reorder the terms:
28glo + 8glox + 4glox = 2

Combine like terms: 8glox + 4glox = 12glox
28glo + 12glox = 2

Solving
28glo + 12glox = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + 28glo + 12glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 28glo + 12glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 14glo + 6glox) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + 14glo + 6glox)' equal to zero and attempt to solve:

Simplifying
-1 + 14glo + 6glox = 0

Solving
-1 + 14glo + 6glox = 0

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

Add '1' to each side of the equation.
-1 + 14glo + 1 + 6glox = 0 + 1

Reorder the terms:
-1 + 1 + 14glo + 6glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 14glo + 6glox = 0 + 1
14glo + 6glox = 0 + 1

Combine like terms: 0 + 1 = 1
14glo + 6glox = 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.

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