15log(x-2)=30

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Solution for 15log(x-2)=30 equation:


Simplifying
15log(x + -2) = 30

Reorder the terms:
15glo(-2 + x) = 30
(-2 * 15glo + x * 15glo) = 30
(-30glo + 15glox) = 30

Solving
-30glo + 15glox = 30

Solving for variable 'g'.

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

Reorder the terms:
-30 + -30glo + 15glox = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + -30glo + 15glox = 0

Factor out the Greatest Common Factor (GCF), '15'.
15(-2 + -2glo + glox) = 0

Ignore the factor 15.

Subproblem 1

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