6log(n-7)=-12

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Solution for 6log(n-7)=-12 equation:


Simplifying
6log(n + -7) = -12

Reorder the terms:
6glo(-7 + n) = -12
(-7 * 6glo + n * 6glo) = -12

Reorder the terms:
(6glno + -42glo) = -12
(6glno + -42glo) = -12

Solving
6glno + -42glo = -12

Solving for variable 'g'.

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

Reorder the terms:
12 + 6glno + -42glo = -12 + 12

Combine like terms: -12 + 12 = 0
12 + 6glno + -42glo = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(2 + glno + -7glo) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(2 + glno + -7glo)' equal to zero and attempt to solve: Simplifying 2 + glno + -7glo = 0 Solving 2 + glno + -7glo = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + glno + -2 + -7glo = 0 + -2 Reorder the terms: 2 + -2 + glno + -7glo = 0 + -2 Combine like terms: 2 + -2 = 0 0 + glno + -7glo = 0 + -2 glno + -7glo = 0 + -2 Combine like terms: 0 + -2 = -2 glno + -7glo = -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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