log*12(m-5)+log*12(m-5)=2

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Solution for log*12(m-5)+log*12(m-5)=2 equation:


Simplifying
log * 12(m + -5) + log * 12(m + -5) = 2

Reorder the terms:
glo * 12(-5 + m) + log * 12(m + -5) = 2

Reorder the terms for easier multiplication:
12glo(-5 + m) + log * 12(m + -5) = 2
(-5 * 12glo + m * 12glo) + log * 12(m + -5) = 2

Reorder the terms:
(12glmo + -60glo) + log * 12(m + -5) = 2
(12glmo + -60glo) + log * 12(m + -5) = 2

Reorder the terms:
12glmo + -60glo + glo * 12(-5 + m) = 2

Reorder the terms for easier multiplication:
12glmo + -60glo + 12glo(-5 + m) = 2
12glmo + -60glo + (-5 * 12glo + m * 12glo) = 2

Reorder the terms:
12glmo + -60glo + (12glmo + -60glo) = 2
12glmo + -60glo + (12glmo + -60glo) = 2

Reorder the terms:
12glmo + 12glmo + -60glo + -60glo = 2

Combine like terms: 12glmo + 12glmo = 24glmo
24glmo + -60glo + -60glo = 2

Combine like terms: -60glo + -60glo = -120glo
24glmo + -120glo = 2

Solving
24glmo + -120glo = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + 24glmo + -120glo = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 24glmo + -120glo = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 12glmo + -60glo) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + 12glmo + -60glo)' equal to zero and attempt to solve: Simplifying -1 + 12glmo + -60glo = 0 Solving -1 + 12glmo + -60glo = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 12glmo + 1 + -60glo = 0 + 1 Reorder the terms: -1 + 1 + 12glmo + -60glo = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 12glmo + -60glo = 0 + 1 12glmo + -60glo = 0 + 1 Combine like terms: 0 + 1 = 1 12glmo + -60glo = 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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