Log(12)+3Log(x)=log(96)

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Solution for Log(12)+3Log(x)=log(96) equation:


Simplifying
Log(12) + 3Log(x) = log(96)

Reorder the terms for easier multiplication:
12goL + 3Log(x) = log(96)

Multiply goL * x
12goL + 3goxL = log(96)

Reorder the terms for easier multiplication:
12goL + 3goxL = 96glo

Solving
12goL + 3goxL = 96glo

Solving for variable 'g'.

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

Add '-96glo' to each side of the equation.
12goL + -96glo + 3goxL = 96glo + -96glo

Reorder the terms:
-96glo + 12goL + 3goxL = 96glo + -96glo

Combine like terms: 96glo + -96glo = 0
-96glo + 12goL + 3goxL = 0

Factor out the Greatest Common Factor (GCF), '3go'.
3go(-32l + 4L + xL) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(-32l + 4L + xL)' equal to zero and attempt to solve: Simplifying -32l + 4L + xL = 0 Reorder the terms: 4L + -32l + xL = 0 Solving 4L + -32l + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-4L' to each side of the equation. 4L + -32l + -4L + xL = 0 + -4L Reorder the terms: 4L + -4L + -32l + xL = 0 + -4L Combine like terms: 4L + -4L = 0 0 + -32l + xL = 0 + -4L -32l + xL = 0 + -4L Remove the zero: -32l + xL = -4L Add '32l' to each side of the equation. -32l + 32l + xL = -4L + 32l Combine like terms: -32l + 32l = 0 0 + xL = -4L + 32l xL = -4L + 32l Add '-1xL' to each side of the equation. xL + -1xL = -4L + 32l + -1xL Combine like terms: xL + -1xL = 0 0 = -4L + 32l + -1xL Simplifying 0 = -4L + 32l + -1xL 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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