log[3]x+2log[3]=log[3]36

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Solution for log[3]x+2log[3]=log[3]36 equation:


Simplifying
log[3] * x + 2log[3] = log[3] * 36

Reorder the terms for easier multiplication:
3glo * x + 2log[3] = log[3] * 36

Multiply glo * x
3glox + 2log[3] = log[3] * 36

Reorder the terms for easier multiplication:
3glox + 2 * 3glo = log[3] * 36

Multiply 2 * 3
3glox + 6glo = log[3] * 36

Reorder the terms:
6glo + 3glox = log[3] * 36

Reorder the terms for easier multiplication:
6glo + 3glox = 3 * 36glo

Multiply 3 * 36
6glo + 3glox = 108glo

Solving
6glo + 3glox = 108glo

Solving for variable 'g'.

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

Add '-108glo' to each side of the equation.
6glo + -108glo + 3glox = 108glo + -108glo

Combine like terms: 6glo + -108glo = -102glo
-102glo + 3glox = 108glo + -108glo

Combine like terms: 108glo + -108glo = 0
-102glo + 3glox = 0

Factor out the Greatest Common Factor (GCF), '3glo'.
3glo(-34 + x) = 0

Ignore the factor 3.

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 '(-34 + x)' equal to zero and attempt to solve: Simplifying -34 + x = 0 Solving -34 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + x = 0 + 34 x = 0 + 34 Combine like terms: 0 + 34 = 34 x = 34 Add '-1x' to each side of the equation. x + -1x = 34 + -1x Combine like terms: x + -1x = 0 0 = 34 + -1x Simplifying 0 = 34 + -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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