log(12x)=log(2)

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Solution for log(12x)=log(2) equation:


Simplifying
log(12x) = log(2)

Remove parenthesis around (12x)
glo * 12x = log(2)

Reorder the terms for easier multiplication:
12glo * x = log(2)

Multiply glo * x
12glox = log(2)

Reorder the terms for easier multiplication:
12glox = 2glo

Solving
12glox = 2glo

Solving for variable 'g'.

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

Add '-2glo' to each side of the equation.
-2glo + 12glox = 2glo + -2glo

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

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

Ignore the factor 2.

Subproblem 1

Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1 + 6x)' equal to zero and attempt to solve: Simplifying -1 + 6x = 0 Solving -1 + 6x = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 6x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 0 + 1 6x = 0 + 1 Combine like terms: 0 + 1 = 1 6x = 1 Add '-6x' to each side of the equation. 6x + -6x = 1 + -6x Combine like terms: 6x + -6x = 0 0 = 1 + -6x Simplifying 0 = 1 + -6x 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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