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

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


Simplifying
log(4) + log(4x2) = 4

Reorder the terms for easier multiplication:
4glo + log(4x2) = 4

Remove parenthesis around (4x2)
4glo + glo * 4x2 = 4

Reorder the terms for easier multiplication:
4glo + 4glo * x2 = 4

Multiply glo * x2
4glo + 4glox2 = 4

Solving
4glo + 4glox2 = 4

Solving for variable 'g'.

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

Reorder the terms:
-4 + 4glo + 4glox2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 4glo + 4glox2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + glo + glox2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-1 + glo + glox2)' equal to zero and attempt to solve: Simplifying -1 + glo + glox2 = 0 Solving -1 + glo + glox2 = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + glo + 1 + glox2 = 0 + 1 Reorder the terms: -1 + 1 + glo + glox2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + glo + glox2 = 0 + 1 glo + glox2 = 0 + 1 Combine like terms: 0 + 1 = 1 glo + glox2 = 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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