3log(x)=2log(3)

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Solution for 3log(x)=2log(3) equation:


Simplifying
3log(x) = 2log(3)

Multiply glo * x
3glox = 2log(3)

Reorder the terms for easier multiplication:
3glox = 2 * 3glo

Multiply 2 * 3
3glox = 6glo

Solving
3glox = 6glo

Solving for variable 'g'.

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

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

Combine like terms: 6glo + -6glo = 0
-6glo + 3glox = 0

Factor out the Greatest Common Factor (GCF), '3glo'.
3glo(-2 + 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 '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Add '-1x' to each side of the equation. x + -1x = 2 + -1x Combine like terms: x + -1x = 0 0 = 2 + -1x Simplifying 0 = 2 + -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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