log(x)-log(2)=log(17)

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Solution for log(x)-log(2)=log(17) equation:


Simplifying
log(x) + -1log(2) = log(17)

Multiply glo * x
glox + -1log(2) = log(17)

Reorder the terms for easier multiplication:
glox + -1 * 2glo = log(17)

Multiply -1 * 2
glox + -2glo = log(17)

Reorder the terms:
-2glo + glox = log(17)

Reorder the terms for easier multiplication:
-2glo + glox = 17glo

Solving
-2glo + glox = 17glo

Solving for variable 'g'.

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

Add '-17glo' to each side of the equation.
-2glo + -17glo + glox = 17glo + -17glo

Combine like terms: -2glo + -17glo = -19glo
-19glo + glox = 17glo + -17glo

Combine like terms: 17glo + -17glo = 0
-19glo + glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-19 + 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 '(-19 + x)' equal to zero and attempt to solve: Simplifying -19 + x = 0 Solving -19 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + x = 0 + 19 x = 0 + 19 Combine like terms: 0 + 19 = 19 x = 19 Add '-1x' to each side of the equation. x + -1x = 19 + -1x Combine like terms: x + -1x = 0 0 = 19 + -1x Simplifying 0 = 19 + -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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