log[5]17+log[5]x=log[5]

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Solution for log[5]17+log[5]x=log[5] equation:


Simplifying
log[5] * 17 + log[5] * x = log[5]

Reorder the terms for easier multiplication:
5 * 17glo + log[5] * x = log[5]

Multiply 5 * 17
85glo + log[5] * x = log[5]

Reorder the terms for easier multiplication:
85glo + 5glo * x = log[5]

Multiply glo * x
85glo + 5glox = log[5]

Reorder the terms for easier multiplication:
85glo + 5glox = 5glo

Solving
85glo + 5glox = 5glo

Solving for variable 'g'.

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

Add '-5glo' to each side of the equation.
85glo + -5glo + 5glox = 5glo + -5glo

Combine like terms: 85glo + -5glo = 80glo
80glo + 5glox = 5glo + -5glo

Combine like terms: 5glo + -5glo = 0
80glo + 5glox = 0

Factor out the Greatest Common Factor (GCF), '5glo'.
5glo(16 + x) = 0

Ignore the factor 5.

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 '(16 + x)' equal to zero and attempt to solve: Simplifying 16 + x = 0 Solving 16 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x = 0 + -16 x = 0 + -16 Combine like terms: 0 + -16 = -16 x = -16 Add '-1x' to each side of the equation. x + -1x = -16 + -1x Combine like terms: x + -1x = 0 0 = -16 + -1x Simplifying 0 = -16 + -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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