Log(3)9x=log(x)27

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Solution for Log(3)9x=log(x)27 equation:


Simplifying
Log(3) * 9x = log(x) * 27

Reorder the terms for easier multiplication:
3 * 9goL * x = log(x) * 27

Multiply 3 * 9
27goL * x = log(x) * 27

Multiply goL * x
27goxL = log(x) * 27

Reorder the terms for easier multiplication:
27goxL = 27glo * x

Multiply glo * x
27goxL = 27glox

Solving
27goxL = 27glox

Solving for variable 'g'.

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

Add '-27glox' to each side of the equation.
-27glox + 27goxL = 27glox + -27glox

Combine like terms: 27glox + -27glox = 0
-27glox + 27goxL = 0

Factor out the Greatest Common Factor (GCF), '27gox'.
27gox(-1l + L) = 0

Ignore the factor 27.

Subproblem 1

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