log(x-2)+log(2)=log(15)

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


Simplifying
log(x + -2) + log(2) = log(15)

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

Reorder the terms for easier multiplication:
-2glo + glox + 2glo = log(15)

Reorder the terms:
-2glo + 2glo + glox = log(15)

Combine like terms: -2glo + 2glo = 0
0 + glox = log(15)
glox = log(15)

Reorder the terms for easier multiplication:
glox = 15glo

Solving
glox = 15glo

Solving for variable 'g'.

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

Add '-15glo' to each side of the equation.
-15glo + glox = 15glo + -15glo

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

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

Subproblem 1

Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-15 + x)' equal to zero and attempt to solve: Simplifying -15 + x = 0 Solving -15 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + x = 0 + 15 x = 0 + 15 Combine like terms: 0 + 15 = 15 x = 15 Add '-1x' to each side of the equation. x + -1x = 15 + -1x Combine like terms: x + -1x = 0 0 = 15 + -1x Simplifying 0 = 15 + -1x 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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