log[2]x+log[2]4=2

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


Simplifying
log[2] * x + log[2] * 4 = 2

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

Multiply glo * x
2glox + log[2] * 4 = 2

Reorder the terms for easier multiplication:
2glox + 2 * 4glo = 2

Multiply 2 * 4
2glox + 8glo = 2

Reorder the terms:
8glo + 2glox = 2

Solving
8glo + 2glox = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + 8glo + 2glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 8glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 4glo + glox) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + 4glo + glox)' equal to zero and attempt to solve: Simplifying -1 + 4glo + glox = 0 Solving -1 + 4glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 4glo + 1 + glox = 0 + 1 Reorder the terms: -1 + 1 + 4glo + glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4glo + glox = 0 + 1 4glo + glox = 0 + 1 Combine like terms: 0 + 1 = 1 4glo + glox = 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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