log(2)4x+log(2)X=4

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Solution for log(2)4x+log(2)X=4 equation:


Simplifying
log(2) * 4x + log(2) * X = 4

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

Multiply 2 * 4
8glo * x + log(2) * X = 4

Multiply glo * x
8glox + log(2) * X = 4

Reorder the terms for easier multiplication:
8glox + 2glo * X = 4

Multiply glo * X
8glox + 2gloX = 4

Reorder the terms:
2gloX + 8glox = 4

Solving
2gloX + 8glox = 4

Solving for variable 'g'.

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

Reorder the terms:
-4 + 2gloX + 8glox = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 2gloX + 8glox = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor '(-2 + gloX + 4glox)' equal to zero and attempt to solve: Simplifying -2 + gloX + 4glox = 0 Solving -2 + gloX + 4glox = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + gloX + 2 + 4glox = 0 + 2 Reorder the terms: -2 + 2 + gloX + 4glox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + gloX + 4glox = 0 + 2 gloX + 4glox = 0 + 2 Combine like terms: 0 + 2 = 2 gloX + 4glox = 2 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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