5log(x-2)=10

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Solution for 5log(x-2)=10 equation:


Simplifying
5log(x + -2) = 10

Reorder the terms:
5glo(-2 + x) = 10
(-2 * 5glo + x * 5glo) = 10
(-10glo + 5glox) = 10

Solving
-10glo + 5glox = 10

Solving for variable 'g'.

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

Reorder the terms:
-10 + -10glo + 5glox = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + -10glo + 5glox = 0

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

Ignore the factor 5.

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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