3log(x-2)=15

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Solution for 3log(x-2)=15 equation:


Simplifying
3log(x + -2) = 15

Reorder the terms:
3glo(-2 + x) = 15
(-2 * 3glo + x * 3glo) = 15
(-6glo + 3glox) = 15

Solving
-6glo + 3glox = 15

Solving for variable 'g'.

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

Reorder the terms:
-15 + -6glo + 3glox = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + -6glo + 3glox = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + -2glo + glox) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-5 + -2glo + glox)' equal to zero and attempt to solve: Simplifying -5 + -2glo + glox = 0 Solving -5 + -2glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -2glo + 5 + glox = 0 + 5 Reorder the terms: -5 + 5 + -2glo + glox = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2glo + glox = 0 + 5 -2glo + glox = 0 + 5 Combine like terms: 0 + 5 = 5 -2glo + glox = 5 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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